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Finding the Fourth Proportional to 8,821.52, 12,177.70 and 5,639.16

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Solution

The fourth proportional to 8,821.52, 12,177.70 and 5,639.16 is: 7,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.52 : 12,177.70 = 5,639.16 : x
  2. Step 2: Convert to fraction form
    8,821.52/12,177.70 = 5,639.16/x
  3. Step 3: Cross multiply
    8,821.52x = 12,177.70 × 5,639.16
  4. Step 4: Simplify right side
    8,821.52x = 68,671,984.63
  5. Step 5: Solve for x
    x = 68,671,984.63/8,821.52
  6. Step 6: Final answer
    x = 7,784.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.