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Finding the Fourth Proportional to 10,401.65, 14,344.85 and 8,894.86

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Solution

The fourth proportional to 10,401.65, 14,344.85 and 8,894.86 is: 12,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.65 : 14,344.85 = 8,894.86 : x
  2. Step 2: Convert to fraction form
    10,401.65/14,344.85 = 8,894.86/x
  3. Step 3: Cross multiply
    10,401.65x = 14,344.85 × 8,894.86
  4. Step 4: Simplify right side
    10,401.65x = 127,595,505.22
  5. Step 5: Solve for x
    x = 127,595,505.22/10,401.65
  6. Step 6: Final answer
    x = 12,266.85

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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.