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Finding the Fourth Proportional to 7,499.40, 10,349.64 and 4,142.04

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Solution

The fourth proportional to 7,499.40, 10,349.64 and 4,142.04 is: 5,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.40 : 10,349.64 = 4,142.04 : x
  2. Step 2: Convert to fraction form
    7,499.40/10,349.64 = 4,142.04/x
  3. Step 3: Cross multiply
    7,499.40x = 10,349.64 × 4,142.04
  4. Step 4: Simplify right side
    7,499.40x = 42,868,622.87
  5. Step 5: Solve for x
    x = 42,868,622.87/7,499.40
  6. Step 6: Final answer
    x = 5,716.27

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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.