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Finding the Fourth Proportional to 8,097.34, 12,137.90 and 3,160.18

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Solution

The fourth proportional to 8,097.34, 12,137.90 and 3,160.18 is: 4,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.34 : 12,137.90 = 3,160.18 : x
  2. Step 2: Convert to fraction form
    8,097.34/12,137.90 = 3,160.18/x
  3. Step 3: Cross multiply
    8,097.34x = 12,137.90 × 3,160.18
  4. Step 4: Simplify right side
    8,097.34x = 38,357,948.82
  5. Step 5: Solve for x
    x = 38,357,948.82/8,097.34
  6. Step 6: Final answer
    x = 4,737.10

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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.