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Finding the Fourth Proportional to 10,254.68, 14,159.38 and 8,012.68

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Solution

The fourth proportional to 10,254.68, 14,159.38 and 8,012.68 is: 11,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.68 : 14,159.38 = 8,012.68 : x
  2. Step 2: Convert to fraction form
    10,254.68/14,159.38 = 8,012.68/x
  3. Step 3: Cross multiply
    10,254.68x = 14,159.38 × 8,012.68
  4. Step 4: Simplify right side
    10,254.68x = 113,454,580.94
  5. Step 5: Solve for x
    x = 113,454,580.94/10,254.68
  6. Step 6: Final answer
    x = 11,063.69

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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.