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Finding the Fourth Proportional to 10,979.52, 16,416 and 9,355.20

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Solution

The fourth proportional to 10,979.52, 16,416 and 9,355.20 is: 13,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979.52 : 16,416 = 9,355.20 : x
  2. Step 2: Convert to fraction form
    10,979.52/16,416 = 9,355.20/x
  3. Step 3: Cross multiply
    10,979.52x = 16,416 × 9,355.20
  4. Step 4: Simplify right side
    10,979.52x = 153,574,963.20
  5. Step 5: Solve for x
    x = 153,574,963.20/10,979.52
  6. Step 6: Final answer
    x = 13,987.40

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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.