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Finding the Fourth Proportional to 10,507.53, 14,500.22 and 5,727.53

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Solution

The fourth proportional to 10,507.53, 14,500.22 and 5,727.53 is: 7,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.53 : 14,500.22 = 5,727.53 : x
  2. Step 2: Convert to fraction form
    10,507.53/14,500.22 = 5,727.53/x
  3. Step 3: Cross multiply
    10,507.53x = 14,500.22 × 5,727.53
  4. Step 4: Simplify right side
    10,507.53x = 83,050,343.92
  5. Step 5: Solve for x
    x = 83,050,343.92/10,507.53
  6. Step 6: Final answer
    x = 7,903.89

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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.