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Finding the Fourth Proportional to 10,291.42, 15,398.82 and 6,133.69

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Solution

The fourth proportional to 10,291.42, 15,398.82 and 6,133.69 is: 9,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.42 : 15,398.82 = 6,133.69 : x
  2. Step 2: Convert to fraction form
    10,291.42/15,398.82 = 6,133.69/x
  3. Step 3: Cross multiply
    10,291.42x = 15,398.82 × 6,133.69
  4. Step 4: Simplify right side
    10,291.42x = 94,451,588.25
  5. Step 5: Solve for x
    x = 94,451,588.25/10,291.42
  6. Step 6: Final answer
    x = 9,177.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.