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Finding the Fourth Proportional to 11,200.32, 16,805.28 and 4,631.28

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Solution

The fourth proportional to 11,200.32, 16,805.28 and 4,631.28 is: 6,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.32 : 16,805.28 = 4,631.28 : x
  2. Step 2: Convert to fraction form
    11,200.32/16,805.28 = 4,631.28/x
  3. Step 3: Cross multiply
    11,200.32x = 16,805.28 × 4,631.28
  4. Step 4: Simplify right side
    11,200.32x = 77,829,957.16
  5. Step 5: Solve for x
    x = 77,829,957.16/11,200.32
  6. Step 6: Final answer
    x = 6,948.90

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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.