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Finding the Fourth Proportional to 10,061.56, 13,876.56 and 7,549.24

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Solution

The fourth proportional to 10,061.56, 13,876.56 and 7,549.24 is: 10,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.56 : 13,876.56 = 7,549.24 : x
  2. Step 2: Convert to fraction form
    10,061.56/13,876.56 = 7,549.24/x
  3. Step 3: Cross multiply
    10,061.56x = 13,876.56 × 7,549.24
  4. Step 4: Simplify right side
    10,061.56x = 104,757,481.81
  5. Step 5: Solve for x
    x = 104,757,481.81/10,061.56
  6. Step 6: Final answer
    x = 10,411.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.