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Finding the Fourth Proportional to 10,990.71, 15,166.19 and 6,513.75

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Solution

The fourth proportional to 10,990.71, 15,166.19 and 6,513.75 is: 8,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.71 : 15,166.19 = 6,513.75 : x
  2. Step 2: Convert to fraction form
    10,990.71/15,166.19 = 6,513.75/x
  3. Step 3: Cross multiply
    10,990.71x = 15,166.19 × 6,513.75
  4. Step 4: Simplify right side
    10,990.71x = 98,788,737.54
  5. Step 5: Solve for x
    x = 98,788,737.54/10,990.71
  6. Step 6: Final answer
    x = 8,988.39

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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.