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Finding the Fourth Proportional to 7,352.40, 10,142.42 and 4,658.86

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Solution

The fourth proportional to 7,352.40, 10,142.42 and 4,658.86 is: 6,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.40 : 10,142.42 = 4,658.86 : x
  2. Step 2: Convert to fraction form
    7,352.40/10,142.42 = 4,658.86/x
  3. Step 3: Cross multiply
    7,352.40x = 10,142.42 × 4,658.86
  4. Step 4: Simplify right side
    7,352.40x = 47,252,114.84
  5. Step 5: Solve for x
    x = 47,252,114.84/7,352.40
  6. Step 6: Final answer
    x = 6,426.76

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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.