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Finding the Fourth Proportional to 10,225.20, 15,337.80 and 3,658.80

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Solution

The fourth proportional to 10,225.20, 15,337.80 and 3,658.80 is: 5,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.20 : 15,337.80 = 3,658.80 : x
  2. Step 2: Convert to fraction form
    10,225.20/15,337.80 = 3,658.80/x
  3. Step 3: Cross multiply
    10,225.20x = 15,337.80 × 3,658.80
  4. Step 4: Simplify right side
    10,225.20x = 56,117,942.64
  5. Step 5: Solve for x
    x = 56,117,942.64/10,225.20
  6. Step 6: Final answer
    x = 5,488.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.