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Finding the Fourth Proportional to 10,644.41, 14,689.28 and 6,170.76

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Solution

The fourth proportional to 10,644.41, 14,689.28 and 6,170.76 is: 8,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.41 : 14,689.28 = 6,170.76 : x
  2. Step 2: Convert to fraction form
    10,644.41/14,689.28 = 6,170.76/x
  3. Step 3: Cross multiply
    10,644.41x = 14,689.28 × 6,170.76
  4. Step 4: Simplify right side
    10,644.41x = 90,643,990.60
  5. Step 5: Solve for x
    x = 90,643,990.60/10,644.41
  6. Step 6: Final answer
    x = 8,515.65

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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.