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Finding the Fourth Proportional to 7,883.40, 11,818.00 and 2,882.23

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Solution

The fourth proportional to 7,883.40, 11,818.00 and 2,882.23 is: 4,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.40 : 11,818.00 = 2,882.23 : x
  2. Step 2: Convert to fraction form
    7,883.40/11,818.00 = 2,882.23/x
  3. Step 3: Cross multiply
    7,883.40x = 11,818.00 × 2,882.23
  4. Step 4: Simplify right side
    7,883.40x = 34,062,159.89
  5. Step 5: Solve for x
    x = 34,062,159.89/7,883.40
  6. Step 6: Final answer
    x = 4,320.74

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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.