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Finding the Fourth Proportional to 10,201.80, 14,081.40 and 6,616.68

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Solution

The fourth proportional to 10,201.80, 14,081.40 and 6,616.68 is: 9,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.80 : 14,081.40 = 6,616.68 : x
  2. Step 2: Convert to fraction form
    10,201.80/14,081.40 = 6,616.68/x
  3. Step 3: Cross multiply
    10,201.80x = 14,081.40 × 6,616.68
  4. Step 4: Simplify right side
    10,201.80x = 93,172,117.75
  5. Step 5: Solve for x
    x = 93,172,117.75/10,201.80
  6. Step 6: Final answer
    x = 9,132.91

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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.