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Finding the Fourth Proportional to 7,489.40, 10,337.10 and 4,658.36

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Solution

The fourth proportional to 7,489.40, 10,337.10 and 4,658.36 is: 6,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.40 : 10,337.10 = 4,658.36 : x
  2. Step 2: Convert to fraction form
    7,489.40/10,337.10 = 4,658.36/x
  3. Step 3: Cross multiply
    7,489.40x = 10,337.10 × 4,658.36
  4. Step 4: Simplify right side
    7,489.40x = 48,153,933.16
  5. Step 5: Solve for x
    x = 48,153,933.16/7,489.40
  6. Step 6: Final answer
    x = 6,429.61

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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.