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Finding the Fourth Proportional to 10,537.29, 15,773.13 and 7,720.11

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Solution

The fourth proportional to 10,537.29, 15,773.13 and 7,720.11 is: 11,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.29 : 15,773.13 = 7,720.11 : x
  2. Step 2: Convert to fraction form
    10,537.29/15,773.13 = 7,720.11/x
  3. Step 3: Cross multiply
    10,537.29x = 15,773.13 × 7,720.11
  4. Step 4: Simplify right side
    10,537.29x = 121,770,298.64
  5. Step 5: Solve for x
    x = 121,770,298.64/10,537.29
  6. Step 6: Final answer
    x = 11,556.13

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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.