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Finding the Fourth Proportional to 10,165.14, 15,239.52 and 4,317.66

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Solution

The fourth proportional to 10,165.14, 15,239.52 and 4,317.66 is: 6,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.14 : 15,239.52 = 4,317.66 : x
  2. Step 2: Convert to fraction form
    10,165.14/15,239.52 = 4,317.66/x
  3. Step 3: Cross multiply
    10,165.14x = 15,239.52 × 4,317.66
  4. Step 4: Simplify right side
    10,165.14x = 65,799,065.92
  5. Step 5: Solve for x
    x = 65,799,065.92/10,165.14
  6. Step 6: Final answer
    x = 6,473.01

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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.