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Finding the Fourth Proportional to 10,930.58, 15,100.66 and 7,162.70

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Solution

The fourth proportional to 10,930.58, 15,100.66 and 7,162.70 is: 9,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.58 : 15,100.66 = 7,162.70 : x
  2. Step 2: Convert to fraction form
    10,930.58/15,100.66 = 7,162.70/x
  3. Step 3: Cross multiply
    10,930.58x = 15,100.66 × 7,162.70
  4. Step 4: Simplify right side
    10,930.58x = 108,161,497.38
  5. Step 5: Solve for x
    x = 108,161,497.38/10,930.58
  6. Step 6: Final answer
    x = 9,895.31

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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.