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Finding the Fourth Proportional to 10,275, 14,176.20 and 6,294.12

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Solution

The fourth proportional to 10,275, 14,176.20 and 6,294.12 is: 8,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275 : 14,176.20 = 6,294.12 : x
  2. Step 2: Convert to fraction form
    10,275/14,176.20 = 6,294.12/x
  3. Step 3: Cross multiply
    10,275x = 14,176.20 × 6,294.12
  4. Step 4: Simplify right side
    10,275x = 89,226,703.94
  5. Step 5: Solve for x
    x = 89,226,703.94/10,275
  6. Step 6: Final answer
    x = 8,683.86

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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.