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Finding the Fourth Proportional to 8,278.32, 12,419.34 and 4,385.46

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Solution

The fourth proportional to 8,278.32, 12,419.34 and 4,385.46 is: 6,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.32 : 12,419.34 = 4,385.46 : x
  2. Step 2: Convert to fraction form
    8,278.32/12,419.34 = 4,385.46/x
  3. Step 3: Cross multiply
    8,278.32x = 12,419.34 × 4,385.46
  4. Step 4: Simplify right side
    8,278.32x = 54,464,518.80
  5. Step 5: Solve for x
    x = 54,464,518.80/8,278.32
  6. Step 6: Final answer
    x = 6,579.18

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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.