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Finding the Fourth Proportional to 10,150.85, 14,008.08 and 5,613.84

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Solution

The fourth proportional to 10,150.85, 14,008.08 and 5,613.84 is: 7,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.85 : 14,008.08 = 5,613.84 : x
  2. Step 2: Convert to fraction form
    10,150.85/14,008.08 = 5,613.84/x
  3. Step 3: Cross multiply
    10,150.85x = 14,008.08 × 5,613.84
  4. Step 4: Simplify right side
    10,150.85x = 78,639,119.83
  5. Step 5: Solve for x
    x = 78,639,119.83/10,150.85
  6. Step 6: Final answer
    x = 7,747.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.