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Finding the Fourth Proportional to 11,133.70, 15,364.34 and 6,097.86

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Solution

The fourth proportional to 11,133.70, 15,364.34 and 6,097.86 is: 8,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.70 : 15,364.34 = 6,097.86 : x
  2. Step 2: Convert to fraction form
    11,133.70/15,364.34 = 6,097.86/x
  3. Step 3: Cross multiply
    11,133.70x = 15,364.34 × 6,097.86
  4. Step 4: Simplify right side
    11,133.70x = 93,689,594.31
  5. Step 5: Solve for x
    x = 93,689,594.31/11,133.70
  6. Step 6: Final answer
    x = 8,414.96

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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.