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Finding the Fourth Proportional to 10,206.70, 15,301.39 and 4,658.10

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Solution

The fourth proportional to 10,206.70, 15,301.39 and 4,658.10 is: 6,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.70 : 15,301.39 = 4,658.10 : x
  2. Step 2: Convert to fraction form
    10,206.70/15,301.39 = 4,658.10/x
  3. Step 3: Cross multiply
    10,206.70x = 15,301.39 × 4,658.10
  4. Step 4: Simplify right side
    10,206.70x = 71,275,404.76
  5. Step 5: Solve for x
    x = 71,275,404.76/10,206.70
  6. Step 6: Final answer
    x = 6,983.20

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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.