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Finding the Fourth Proportional to 10,394.46, 15,563.75 and 7,917.48

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Solution

The fourth proportional to 10,394.46, 15,563.75 and 7,917.48 is: 11,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.46 : 15,563.75 = 7,917.48 : x
  2. Step 2: Convert to fraction form
    10,394.46/15,563.75 = 7,917.48/x
  3. Step 3: Cross multiply
    10,394.46x = 15,563.75 × 7,917.48
  4. Step 4: Simplify right side
    10,394.46x = 123,225,639.76
  5. Step 5: Solve for x
    x = 123,225,639.76/10,394.46
  6. Step 6: Final answer
    x = 11,854.93

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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.