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Finding the Fourth Proportional to 11,520.10, 15,897.76 and 6,484.39

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Solution

The fourth proportional to 11,520.10, 15,897.76 and 6,484.39 is: 8,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.10 : 15,897.76 = 6,484.39 : x
  2. Step 2: Convert to fraction form
    11,520.10/15,897.76 = 6,484.39/x
  3. Step 3: Cross multiply
    11,520.10x = 15,897.76 × 6,484.39
  4. Step 4: Simplify right side
    11,520.10x = 103,087,275.97
  5. Step 5: Solve for x
    x = 103,087,275.97/11,520.10
  6. Step 6: Final answer
    x = 8,948.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.