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Finding the Fourth Proportional to 7,876.41, 11,818.74 and 7,422.61

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Solution

The fourth proportional to 7,876.41, 11,818.74 and 7,422.61 is: 11,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.41 : 11,818.74 = 7,422.61 : x
  2. Step 2: Convert to fraction form
    7,876.41/11,818.74 = 7,422.61/x
  3. Step 3: Cross multiply
    7,876.41x = 11,818.74 × 7,422.61
  4. Step 4: Simplify right side
    7,876.41x = 87,725,897.71
  5. Step 5: Solve for x
    x = 87,725,897.71/7,876.41
  6. Step 6: Final answer
    x = 11,137.80

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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.