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Finding the Fourth Proportional to 10,614.59, 14,648.28 and 6,422.84

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Solution

The fourth proportional to 10,614.59, 14,648.28 and 6,422.84 is: 8,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.59 : 14,648.28 = 6,422.84 : x
  2. Step 2: Convert to fraction form
    10,614.59/14,648.28 = 6,422.84/x
  3. Step 3: Cross multiply
    10,614.59x = 14,648.28 × 6,422.84
  4. Step 4: Simplify right side
    10,614.59x = 94,083,558.72
  5. Step 5: Solve for x
    x = 94,083,558.72/10,614.59
  6. Step 6: Final answer
    x = 8,863.61

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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.