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Finding the Fourth Proportional to 8,423.76, 11,623.17 and 5,278.14

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Solution

The fourth proportional to 8,423.76, 11,623.17 and 5,278.14 is: 7,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.76 : 11,623.17 = 5,278.14 : x
  2. Step 2: Convert to fraction form
    8,423.76/11,623.17 = 5,278.14/x
  3. Step 3: Cross multiply
    8,423.76x = 11,623.17 × 5,278.14
  4. Step 4: Simplify right side
    8,423.76x = 61,348,718.50
  5. Step 5: Solve for x
    x = 61,348,718.50/8,423.76
  6. Step 6: Final answer
    x = 7,282.82

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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.