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Finding the Fourth Proportional to 10,253.68, 14,158 and 8,011.68

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Solution

The fourth proportional to 10,253.68, 14,158 and 8,011.68 is: 11,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.68 : 14,158 = 8,011.68 : x
  2. Step 2: Convert to fraction form
    10,253.68/14,158 = 8,011.68/x
  3. Step 3: Cross multiply
    10,253.68x = 14,158 × 8,011.68
  4. Step 4: Simplify right side
    10,253.68x = 113,429,365.44
  5. Step 5: Solve for x
    x = 113,429,365.44/10,253.68
  6. Step 6: Final answer
    x = 11,062.31

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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.