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Finding the Fourth Proportional to 8,119, 12,180.32 and 2,497.24

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Solution

The fourth proportional to 8,119, 12,180.32 and 2,497.24 is: 3,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119 : 12,180.32 = 2,497.24 : x
  2. Step 2: Convert to fraction form
    8,119/12,180.32 = 2,497.24/x
  3. Step 3: Cross multiply
    8,119x = 12,180.32 × 2,497.24
  4. Step 4: Simplify right side
    8,119x = 30,417,182.32
  5. Step 5: Solve for x
    x = 30,417,182.32/8,119
  6. Step 6: Final answer
    x = 3,746.42

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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.