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Finding the Fourth Proportional to 10,178.88, 14,044.50 and 6,401.04

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Solution

The fourth proportional to 10,178.88, 14,044.50 and 6,401.04 is: 8,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.88 : 14,044.50 = 6,401.04 : x
  2. Step 2: Convert to fraction form
    10,178.88/14,044.50 = 6,401.04/x
  3. Step 3: Cross multiply
    10,178.88x = 14,044.50 × 6,401.04
  4. Step 4: Simplify right side
    10,178.88x = 89,899,406.28
  5. Step 5: Solve for x
    x = 89,899,406.28/10,178.88
  6. Step 6: Final answer
    x = 8,831.95

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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.