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Finding the Fourth Proportional to 10,254.58, 14,151.38 and 6,008.15

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Solution

The fourth proportional to 10,254.58, 14,151.38 and 6,008.15 is: 8,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.58 : 14,151.38 = 6,008.15 : x
  2. Step 2: Convert to fraction form
    10,254.58/14,151.38 = 6,008.15/x
  3. Step 3: Cross multiply
    10,254.58x = 14,151.38 × 6,008.15
  4. Step 4: Simplify right side
    10,254.58x = 85,023,664.15
  5. Step 5: Solve for x
    x = 85,023,664.15/10,254.58
  6. Step 6: Final answer
    x = 8,291.29

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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.