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Finding the Fourth Proportional to 7,499.58, 10,349.46 and 4,142.53

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Solution

The fourth proportional to 7,499.58, 10,349.46 and 4,142.53 is: 5,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.58 : 10,349.46 = 4,142.53 : x
  2. Step 2: Convert to fraction form
    7,499.58/10,349.46 = 4,142.53/x
  3. Step 3: Cross multiply
    7,499.58x = 10,349.46 × 4,142.53
  4. Step 4: Simplify right side
    7,499.58x = 42,872,948.53
  5. Step 5: Solve for x
    x = 42,872,948.53/7,499.58
  6. Step 6: Final answer
    x = 5,716.71

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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.