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Finding the Fourth Proportional to 10,116.64, 15,177.22 and 3,097.64

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Solution

The fourth proportional to 10,116.64, 15,177.22 and 3,097.64 is: 4,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.64 : 15,177.22 = 3,097.64 : x
  2. Step 2: Convert to fraction form
    10,116.64/15,177.22 = 3,097.64/x
  3. Step 3: Cross multiply
    10,116.64x = 15,177.22 × 3,097.64
  4. Step 4: Simplify right side
    10,116.64x = 47,013,510.33
  5. Step 5: Solve for x
    x = 47,013,510.33/10,116.64
  6. Step 6: Final answer
    x = 4,647.15

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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.