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Finding the Fourth Proportional to 10,065.75, 15,098.67 and 3,909.75

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Solution

The fourth proportional to 10,065.75, 15,098.67 and 3,909.75 is: 5,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.75 : 15,098.67 = 3,909.75 : x
  2. Step 2: Convert to fraction form
    10,065.75/15,098.67 = 3,909.75/x
  3. Step 3: Cross multiply
    10,065.75x = 15,098.67 × 3,909.75
  4. Step 4: Simplify right side
    10,065.75x = 59,032,025.03
  5. Step 5: Solve for x
    x = 59,032,025.03/10,065.75
  6. Step 6: Final answer
    x = 5,864.64

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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.