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Finding the Fourth Proportional to 10,587, 15,881.17 and 3,566.44

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Solution

The fourth proportional to 10,587, 15,881.17 and 3,566.44 is: 5,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587 : 15,881.17 = 3,566.44 : x
  2. Step 2: Convert to fraction form
    10,587/15,881.17 = 3,566.44/x
  3. Step 3: Cross multiply
    10,587x = 15,881.17 × 3,566.44
  4. Step 4: Simplify right side
    10,587x = 56,639,239.93
  5. Step 5: Solve for x
    x = 56,639,239.93/10,587
  6. Step 6: Final answer
    x = 5,349.89

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Why These Related Problems?

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