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Finding the Fourth Proportional to 10,296.92, 14,209.76 and 5,581.20

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Solution

The fourth proportional to 10,296.92, 14,209.76 and 5,581.20 is: 7,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.92 : 14,209.76 = 5,581.20 : x
  2. Step 2: Convert to fraction form
    10,296.92/14,209.76 = 5,581.20/x
  3. Step 3: Cross multiply
    10,296.92x = 14,209.76 × 5,581.20
  4. Step 4: Simplify right side
    10,296.92x = 79,307,512.51
  5. Step 5: Solve for x
    x = 79,307,512.51/10,296.92
  6. Step 6: Final answer
    x = 7,702.06

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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.