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Finding the Fourth Proportional to 10,204.11, 15,295.50 and 6,917.40

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Solution

The fourth proportional to 10,204.11, 15,295.50 and 6,917.40 is: 10,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.11 : 15,295.50 = 6,917.40 : x
  2. Step 2: Convert to fraction form
    10,204.11/15,295.50 = 6,917.40/x
  3. Step 3: Cross multiply
    10,204.11x = 15,295.50 × 6,917.40
  4. Step 4: Simplify right side
    10,204.11x = 105,805,091.70
  5. Step 5: Solve for x
    x = 105,805,091.70/10,204.11
  6. Step 6: Final answer
    x = 10,368.87

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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.