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Finding the Fourth Proportional to 10,984.12, 16,454.21 and 5,052.89

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Solution

The fourth proportional to 10,984.12, 16,454.21 and 5,052.89 is: 7,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.12 : 16,454.21 = 5,052.89 : x
  2. Step 2: Convert to fraction form
    10,984.12/16,454.21 = 5,052.89/x
  3. Step 3: Cross multiply
    10,984.12x = 16,454.21 × 5,052.89
  4. Step 4: Simplify right side
    10,984.12x = 83,141,329.04
  5. Step 5: Solve for x
    x = 83,141,329.04/10,984.12
  6. Step 6: Final answer
    x = 7,569.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.