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Finding the Fourth Proportional to 8,159.85, 11,261.04 and 4,624.20

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Solution

The fourth proportional to 8,159.85, 11,261.04 and 4,624.20 is: 6,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.85 : 11,261.04 = 4,624.20 : x
  2. Step 2: Convert to fraction form
    8,159.85/11,261.04 = 4,624.20/x
  3. Step 3: Cross multiply
    8,159.85x = 11,261.04 × 4,624.20
  4. Step 4: Simplify right side
    8,159.85x = 52,073,244.86
  5. Step 5: Solve for x
    x = 52,073,244.86/8,159.85
  6. Step 6: Final answer
    x = 6,381.65

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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.