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Finding the Fourth Proportional to 10,468.14, 15,702.18 and 2,676.92

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Solution

The fourth proportional to 10,468.14, 15,702.18 and 2,676.92 is: 4,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.14 : 15,702.18 = 2,676.92 : x
  2. Step 2: Convert to fraction form
    10,468.14/15,702.18 = 2,676.92/x
  3. Step 3: Cross multiply
    10,468.14x = 15,702.18 × 2,676.92
  4. Step 4: Simplify right side
    10,468.14x = 42,033,479.69
  5. Step 5: Solve for x
    x = 42,033,479.69/10,468.14
  6. Step 6: Final answer
    x = 4,015.37

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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.