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Finding the Fourth Proportional to 10,061.87, 13,886.08 and 5,586.12

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Solution

The fourth proportional to 10,061.87, 13,886.08 and 5,586.12 is: 7,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.87 : 13,886.08 = 5,586.12 : x
  2. Step 2: Convert to fraction form
    10,061.87/13,886.08 = 5,586.12/x
  3. Step 3: Cross multiply
    10,061.87x = 13,886.08 × 5,586.12
  4. Step 4: Simplify right side
    10,061.87x = 77,569,295.24
  5. Step 5: Solve for x
    x = 77,569,295.24/10,061.87
  6. Step 6: Final answer
    x = 7,709.24

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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.