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Finding the Fourth Proportional to 10,853.42, 16,280.14 and 3,061.22

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Solution

The fourth proportional to 10,853.42, 16,280.14 and 3,061.22 is: 4,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.42 : 16,280.14 = 3,061.22 : x
  2. Step 2: Convert to fraction form
    10,853.42/16,280.14 = 3,061.22/x
  3. Step 3: Cross multiply
    10,853.42x = 16,280.14 × 3,061.22
  4. Step 4: Simplify right side
    10,853.42x = 49,837,090.17
  5. Step 5: Solve for x
    x = 49,837,090.17/10,853.42
  6. Step 6: Final answer
    x = 4,591.83

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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.