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Finding the Fourth Proportional to 8,824.40, 12,177.86 and 5,047.91

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Solution

The fourth proportional to 8,824.40, 12,177.86 and 5,047.91 is: 6,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.40 : 12,177.86 = 5,047.91 : x
  2. Step 2: Convert to fraction form
    8,824.40/12,177.86 = 5,047.91/x
  3. Step 3: Cross multiply
    8,824.40x = 12,177.86 × 5,047.91
  4. Step 4: Simplify right side
    8,824.40x = 61,472,655.14
  5. Step 5: Solve for x
    x = 61,472,655.14/8,824.40
  6. Step 6: Final answer
    x = 6,966.22

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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.