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Finding the Fourth Proportional to 10,507.89, 14,500.92 and 5,792.07

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Solution

The fourth proportional to 10,507.89, 14,500.92 and 5,792.07 is: 7,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.89 : 14,500.92 = 5,792.07 : x
  2. Step 2: Convert to fraction form
    10,507.89/14,500.92 = 5,792.07/x
  3. Step 3: Cross multiply
    10,507.89x = 14,500.92 × 5,792.07
  4. Step 4: Simplify right side
    10,507.89x = 83,990,343.70
  5. Step 5: Solve for x
    x = 83,990,343.70/10,507.89
  6. Step 6: Final answer
    x = 7,993.07

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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.