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Finding the Fourth Proportional to 8,117.84, 12,174.70 and 3,184.78

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Solution

The fourth proportional to 8,117.84, 12,174.70 and 3,184.78 is: 4,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.84 : 12,174.70 = 3,184.78 : x
  2. Step 2: Convert to fraction form
    8,117.84/12,174.70 = 3,184.78/x
  3. Step 3: Cross multiply
    8,117.84x = 12,174.70 × 3,184.78
  4. Step 4: Simplify right side
    8,117.84x = 38,773,741.07
  5. Step 5: Solve for x
    x = 38,773,741.07/8,117.84
  6. Step 6: Final answer
    x = 4,776.36

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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.