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Finding the Fourth Proportional to 10,507.80, 14,500.53 and 5,792.07

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Solution

The fourth proportional to 10,507.80, 14,500.53 and 5,792.07 is: 7,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.80 : 14,500.53 = 5,792.07 : x
  2. Step 2: Convert to fraction form
    10,507.80/14,500.53 = 5,792.07/x
  3. Step 3: Cross multiply
    10,507.80x = 14,500.53 × 5,792.07
  4. Step 4: Simplify right side
    10,507.80x = 83,988,084.80
  5. Step 5: Solve for x
    x = 83,988,084.80/10,507.80
  6. Step 6: Final answer
    x = 7,992.93

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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.