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Finding the Fourth Proportional to 7,347.91, 11,006.97 and 5,869.66

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Solution

The fourth proportional to 7,347.91, 11,006.97 and 5,869.66 is: 8,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.91 : 11,006.97 = 5,869.66 : x
  2. Step 2: Convert to fraction form
    7,347.91/11,006.97 = 5,869.66/x
  3. Step 3: Cross multiply
    7,347.91x = 11,006.97 × 5,869.66
  4. Step 4: Simplify right side
    7,347.91x = 64,607,171.53
  5. Step 5: Solve for x
    x = 64,607,171.53/7,347.91
  6. Step 6: Final answer
    x = 8,792.59

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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.