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Finding the Fourth Proportional to 10,521.57, 15,773.12 and 4,286.83

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Solution

The fourth proportional to 10,521.57, 15,773.12 and 4,286.83 is: 6,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.57 : 15,773.12 = 4,286.83 : x
  2. Step 2: Convert to fraction form
    10,521.57/15,773.12 = 4,286.83/x
  3. Step 3: Cross multiply
    10,521.57x = 15,773.12 × 4,286.83
  4. Step 4: Simplify right side
    10,521.57x = 67,616,668.79
  5. Step 5: Solve for x
    x = 67,616,668.79/10,521.57
  6. Step 6: Final answer
    x = 6,426.48

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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.