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Finding the Fourth Proportional to 11,007.80, 16,487.40 and 7,071.20

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Solution

The fourth proportional to 11,007.80, 16,487.40 and 7,071.20 is: 10,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.80 : 16,487.40 = 7,071.20 : x
  2. Step 2: Convert to fraction form
    11,007.80/16,487.40 = 7,071.20/x
  3. Step 3: Cross multiply
    11,007.80x = 16,487.40 × 7,071.20
  4. Step 4: Simplify right side
    11,007.80x = 116,585,702.88
  5. Step 5: Solve for x
    x = 116,585,702.88/11,007.80
  6. Step 6: Final answer
    x = 10,591.19

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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.