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Finding the Fourth Proportional to 7,733.40, 11,600.10 and 5,765.10

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Solution

The fourth proportional to 7,733.40, 11,600.10 and 5,765.10 is: 8,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.40 : 11,600.10 = 5,765.10 : x
  2. Step 2: Convert to fraction form
    7,733.40/11,600.10 = 5,765.10/x
  3. Step 3: Cross multiply
    7,733.40x = 11,600.10 × 5,765.10
  4. Step 4: Simplify right side
    7,733.40x = 66,875,736.51
  5. Step 5: Solve for x
    x = 66,875,736.51/7,733.40
  6. Step 6: Final answer
    x = 8,647.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.