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Finding the Fourth Proportional to 7,429.71, 10,234.41 and 5,658.24

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Solution

The fourth proportional to 7,429.71, 10,234.41 and 5,658.24 is: 7,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.71 : 10,234.41 = 5,658.24 : x
  2. Step 2: Convert to fraction form
    7,429.71/10,234.41 = 5,658.24/x
  3. Step 3: Cross multiply
    7,429.71x = 10,234.41 × 5,658.24
  4. Step 4: Simplify right side
    7,429.71x = 57,908,748.04
  5. Step 5: Solve for x
    x = 57,908,748.04/7,429.71
  6. Step 6: Final answer
    x = 7,794.21

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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.