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Finding the Fourth Proportional to 10,097.64, 15,146.22 and 3,077.64

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Solution

The fourth proportional to 10,097.64, 15,146.22 and 3,077.64 is: 4,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.64 : 15,146.22 = 3,077.64 : x
  2. Step 2: Convert to fraction form
    10,097.64/15,146.22 = 3,077.64/x
  3. Step 3: Cross multiply
    10,097.64x = 15,146.22 × 3,077.64
  4. Step 4: Simplify right side
    10,097.64x = 46,614,612.52
  5. Step 5: Solve for x
    x = 46,614,612.52/10,097.64
  6. Step 6: Final answer
    x = 4,616.39

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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.