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Finding the Fourth Proportional to 10,062, 13,873.68 and 7,087.68

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Solution

The fourth proportional to 10,062, 13,873.68 and 7,087.68 is: 9,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062 : 13,873.68 = 7,087.68 : x
  2. Step 2: Convert to fraction form
    10,062/13,873.68 = 7,087.68/x
  3. Step 3: Cross multiply
    10,062x = 13,873.68 × 7,087.68
  4. Step 4: Simplify right side
    10,062x = 98,332,204.26
  5. Step 5: Solve for x
    x = 98,332,204.26/10,062
  6. Step 6: Final answer
    x = 9,772.63

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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.