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Finding the Fourth Proportional to 10,296.52, 14,209.16 and 5,580.80

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Solution

The fourth proportional to 10,296.52, 14,209.16 and 5,580.80 is: 7,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.52 : 14,209.16 = 5,580.80 : x
  2. Step 2: Convert to fraction form
    10,296.52/14,209.16 = 5,580.80/x
  3. Step 3: Cross multiply
    10,296.52x = 14,209.16 × 5,580.80
  4. Step 4: Simplify right side
    10,296.52x = 79,298,480.13
  5. Step 5: Solve for x
    x = 79,298,480.13/10,296.52
  6. Step 6: Final answer
    x = 7,701.48

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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.