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Finding the Fourth Proportional to 10,697.61, 16,042.14 and 4,120.14

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Solution

The fourth proportional to 10,697.61, 16,042.14 and 4,120.14 is: 6,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.61 : 16,042.14 = 4,120.14 : x
  2. Step 2: Convert to fraction form
    10,697.61/16,042.14 = 4,120.14/x
  3. Step 3: Cross multiply
    10,697.61x = 16,042.14 × 4,120.14
  4. Step 4: Simplify right side
    10,697.61x = 66,095,862.70
  5. Step 5: Solve for x
    x = 66,095,862.70/10,697.61
  6. Step 6: Final answer
    x = 6,178.56

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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.