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Finding the Fourth Proportional to 8,159.86, 12,228.35 and 3,473.53

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Solution

The fourth proportional to 8,159.86, 12,228.35 and 3,473.53 is: 5,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.86 : 12,228.35 = 3,473.53 : x
  2. Step 2: Convert to fraction form
    8,159.86/12,228.35 = 3,473.53/x
  3. Step 3: Cross multiply
    8,159.86x = 12,228.35 × 3,473.53
  4. Step 4: Simplify right side
    8,159.86x = 42,475,492.64
  5. Step 5: Solve for x
    x = 42,475,492.64/8,159.86
  6. Step 6: Final answer
    x = 5,205.42

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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.