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Finding the Fourth Proportional to 10,507.87, 14,500.89 and 5,792.17

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Solution

The fourth proportional to 10,507.87, 14,500.89 and 5,792.17 is: 7,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.87 : 14,500.89 = 5,792.17 : x
  2. Step 2: Convert to fraction form
    10,507.87/14,500.89 = 5,792.17/x
  3. Step 3: Cross multiply
    10,507.87x = 14,500.89 × 5,792.17
  4. Step 4: Simplify right side
    10,507.87x = 83,991,620.03
  5. Step 5: Solve for x
    x = 83,991,620.03/10,507.87
  6. Step 6: Final answer
    x = 7,993.21

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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.