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Finding the Fourth Proportional to 8,702.32, 12,015.44 and 5,349.63

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Solution

The fourth proportional to 8,702.32, 12,015.44 and 5,349.63 is: 7,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.32 : 12,015.44 = 5,349.63 : x
  2. Step 2: Convert to fraction form
    8,702.32/12,015.44 = 5,349.63/x
  3. Step 3: Cross multiply
    8,702.32x = 12,015.44 × 5,349.63
  4. Step 4: Simplify right side
    8,702.32x = 64,278,181.69
  5. Step 5: Solve for x
    x = 64,278,181.69/8,702.32
  6. Step 6: Final answer
    x = 7,386.33

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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.