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Finding the Fourth Proportional to 11,134.14, 15,364.82 and 6,098.57

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Solution

The fourth proportional to 11,134.14, 15,364.82 and 6,098.57 is: 8,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.14 : 15,364.82 = 6,098.57 : x
  2. Step 2: Convert to fraction form
    11,134.14/15,364.82 = 6,098.57/x
  3. Step 3: Cross multiply
    11,134.14x = 15,364.82 × 6,098.57
  4. Step 4: Simplify right side
    11,134.14x = 93,703,426.35
  5. Step 5: Solve for x
    x = 93,703,426.35/11,134.14
  6. Step 6: Final answer
    x = 8,415.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.