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Finding the Fourth Proportional to 8,117.84, 12,178.82 and 2,274.47

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Solution

The fourth proportional to 8,117.84, 12,178.82 and 2,274.47 is: 3,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.84 : 12,178.82 = 2,274.47 : x
  2. Step 2: Convert to fraction form
    8,117.84/12,178.82 = 2,274.47/x
  3. Step 3: Cross multiply
    8,117.84x = 12,178.82 × 2,274.47
  4. Step 4: Simplify right side
    8,117.84x = 27,700,288.46
  5. Step 5: Solve for x
    x = 27,700,288.46/8,117.84
  6. Step 6: Final answer
    x = 3,412.28

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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.