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Finding the Fourth Proportional to 10,630.13, 15,946.11 and 5,087.90

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Solution

The fourth proportional to 10,630.13, 15,946.11 and 5,087.90 is: 7,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.13 : 15,946.11 = 5,087.90 : x
  2. Step 2: Convert to fraction form
    10,630.13/15,946.11 = 5,087.90/x
  3. Step 3: Cross multiply
    10,630.13x = 15,946.11 × 5,087.90
  4. Step 4: Simplify right side
    10,630.13x = 81,132,252.93
  5. Step 5: Solve for x
    x = 81,132,252.93/10,630.13
  6. Step 6: Final answer
    x = 7,632.30

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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.