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Finding the Fourth Proportional to 7,840.92, 11,765.40 and 5,210.25

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Solution

The fourth proportional to 7,840.92, 11,765.40 and 5,210.25 is: 7,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.92 : 11,765.40 = 5,210.25 : x
  2. Step 2: Convert to fraction form
    7,840.92/11,765.40 = 5,210.25/x
  3. Step 3: Cross multiply
    7,840.92x = 11,765.40 × 5,210.25
  4. Step 4: Simplify right side
    7,840.92x = 61,300,675.35
  5. Step 5: Solve for x
    x = 61,300,675.35/7,840.92
  6. Step 6: Final answer
    x = 7,818.05

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