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Finding the Fourth Proportional to 10,407.38, 14,361.04 and 6,158.60

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Solution

The fourth proportional to 10,407.38, 14,361.04 and 6,158.60 is: 8,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.38 : 14,361.04 = 6,158.60 : x
  2. Step 2: Convert to fraction form
    10,407.38/14,361.04 = 6,158.60/x
  3. Step 3: Cross multiply
    10,407.38x = 14,361.04 × 6,158.60
  4. Step 4: Simplify right side
    10,407.38x = 88,443,900.94
  5. Step 5: Solve for x
    x = 88,443,900.94/10,407.38
  6. Step 6: Final answer
    x = 8,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.