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Finding the Fourth Proportional to 7,733.01, 11,600.10 and 3,052.68

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Solution

The fourth proportional to 7,733.01, 11,600.10 and 3,052.68 is: 4,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.01 : 11,600.10 = 3,052.68 : x
  2. Step 2: Convert to fraction form
    7,733.01/11,600.10 = 3,052.68/x
  3. Step 3: Cross multiply
    7,733.01x = 11,600.10 × 3,052.68
  4. Step 4: Simplify right side
    7,733.01x = 35,411,393.27
  5. Step 5: Solve for x
    x = 35,411,393.27/7,733.01
  6. Step 6: Final answer
    x = 4,579.25

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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.