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Finding the Fourth Proportional to 10,678.52, 16,019.31 and 3,283.60

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Solution

The fourth proportional to 10,678.52, 16,019.31 and 3,283.60 is: 4,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.52 : 16,019.31 = 3,283.60 : x
  2. Step 2: Convert to fraction form
    10,678.52/16,019.31 = 3,283.60/x
  3. Step 3: Cross multiply
    10,678.52x = 16,019.31 × 3,283.60
  4. Step 4: Simplify right side
    10,678.52x = 52,600,990.15
  5. Step 5: Solve for x
    x = 52,600,990.15/10,678.52
  6. Step 6: Final answer
    x = 4,925.87

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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.