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Finding the Fourth Proportional to 10,032.76, 15,044.10 and 4,187.80

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Solution

The fourth proportional to 10,032.76, 15,044.10 and 4,187.80 is: 6,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.76 : 15,044.10 = 4,187.80 : x
  2. Step 2: Convert to fraction form
    10,032.76/15,044.10 = 4,187.80/x
  3. Step 3: Cross multiply
    10,032.76x = 15,044.10 × 4,187.80
  4. Step 4: Simplify right side
    10,032.76x = 63,001,681.98
  5. Step 5: Solve for x
    x = 63,001,681.98/10,032.76
  6. Step 6: Final answer
    x = 6,279.60

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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.