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Finding the Fourth Proportional to 10,507.79, 14,500.96 and 5,792.11

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Solution

The fourth proportional to 10,507.79, 14,500.96 and 5,792.11 is: 7,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.79 : 14,500.96 = 5,792.11 : x
  2. Step 2: Convert to fraction form
    10,507.79/14,500.96 = 5,792.11/x
  3. Step 3: Cross multiply
    10,507.79x = 14,500.96 × 5,792.11
  4. Step 4: Simplify right side
    10,507.79x = 83,991,104.69
  5. Step 5: Solve for x
    x = 83,991,104.69/10,507.79
  6. Step 6: Final answer
    x = 7,993.22

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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.