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Finding the Fourth Proportional to 7,347.66, 11,006.60 and 5,869.41

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Solution

The fourth proportional to 7,347.66, 11,006.60 and 5,869.41 is: 8,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.66 : 11,006.60 = 5,869.41 : x
  2. Step 2: Convert to fraction form
    7,347.66/11,006.60 = 5,869.41/x
  3. Step 3: Cross multiply
    7,347.66x = 11,006.60 × 5,869.41
  4. Step 4: Simplify right side
    7,347.66x = 64,602,218.76
  5. Step 5: Solve for x
    x = 64,602,218.76/7,347.66
  6. Step 6: Final answer
    x = 8,792.22

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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.