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Finding the Fourth Proportional to 8,726.64, 13,085.67 and 3,102.42

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Solution

The fourth proportional to 8,726.64, 13,085.67 and 3,102.42 is: 4,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.64 : 13,085.67 = 3,102.42 : x
  2. Step 2: Convert to fraction form
    8,726.64/13,085.67 = 3,102.42/x
  3. Step 3: Cross multiply
    8,726.64x = 13,085.67 × 3,102.42
  4. Step 4: Simplify right side
    8,726.64x = 40,597,244.32
  5. Step 5: Solve for x
    x = 40,597,244.32/8,726.64
  6. Step 6: Final answer
    x = 4,652.10

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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.