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Finding the Fourth Proportional to 10,296.97, 14,209.88 and 5,581.24

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Solution

The fourth proportional to 10,296.97, 14,209.88 and 5,581.24 is: 7,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.97 : 14,209.88 = 5,581.24 : x
  2. Step 2: Convert to fraction form
    10,296.97/14,209.88 = 5,581.24/x
  3. Step 3: Cross multiply
    10,296.97x = 14,209.88 × 5,581.24
  4. Step 4: Simplify right side
    10,296.97x = 79,308,750.65
  5. Step 5: Solve for x
    x = 79,308,750.65/10,296.97
  6. Step 6: Final answer
    x = 7,702.14

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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.