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Finding the Fourth Proportional to 7,001.76, 10,491.71 and 5,957.47

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Solution

The fourth proportional to 7,001.76, 10,491.71 and 5,957.47 is: 8,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.76 : 10,491.71 = 5,957.47 : x
  2. Step 2: Convert to fraction form
    7,001.76/10,491.71 = 5,957.47/x
  3. Step 3: Cross multiply
    7,001.76x = 10,491.71 × 5,957.47
  4. Step 4: Simplify right side
    7,001.76x = 62,504,032.68
  5. Step 5: Solve for x
    x = 62,504,032.68/7,001.76
  6. Step 6: Final answer
    x = 8,926.90

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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.