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Finding the Fourth Proportional to 8,188.63, 12,283.58 and 2,924.78

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Solution

The fourth proportional to 8,188.63, 12,283.58 and 2,924.78 is: 4,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.63 : 12,283.58 = 2,924.78 : x
  2. Step 2: Convert to fraction form
    8,188.63/12,283.58 = 2,924.78/x
  3. Step 3: Cross multiply
    8,188.63x = 12,283.58 × 2,924.78
  4. Step 4: Simplify right side
    8,188.63x = 35,926,715.01
  5. Step 5: Solve for x
    x = 35,926,715.01/8,188.63
  6. Step 6: Final answer
    x = 4,387.39

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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.