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Finding the Fourth Proportional to 10,278.91, 14,184.04 and 6,029.53

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Solution

The fourth proportional to 10,278.91, 14,184.04 and 6,029.53 is: 8,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.91 : 14,184.04 = 6,029.53 : x
  2. Step 2: Convert to fraction form
    10,278.91/14,184.04 = 6,029.53/x
  3. Step 3: Cross multiply
    10,278.91x = 14,184.04 × 6,029.53
  4. Step 4: Simplify right side
    10,278.91x = 85,523,056.72
  5. Step 5: Solve for x
    x = 85,523,056.72/10,278.91
  6. Step 6: Final answer
    x = 8,320.24

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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.