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Finding the Fourth Proportional to 10,546.49, 15,809.40 and 5,868.74

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Solution

The fourth proportional to 10,546.49, 15,809.40 and 5,868.74 is: 8,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.49 : 15,809.40 = 5,868.74 : x
  2. Step 2: Convert to fraction form
    10,546.49/15,809.40 = 5,868.74/x
  3. Step 3: Cross multiply
    10,546.49x = 15,809.40 × 5,868.74
  4. Step 4: Simplify right side
    10,546.49x = 92,781,179.11
  5. Step 5: Solve for x
    x = 92,781,179.11/10,546.49
  6. Step 6: Final answer
    x = 8,797.36

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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.