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Finding the Fourth Proportional to 7,422.95, 11,134.22 and 1,876.47

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Solution

The fourth proportional to 7,422.95, 11,134.22 and 1,876.47 is: 2,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.95 : 11,134.22 = 1,876.47 : x
  2. Step 2: Convert to fraction form
    7,422.95/11,134.22 = 1,876.47/x
  3. Step 3: Cross multiply
    7,422.95x = 11,134.22 × 1,876.47
  4. Step 4: Simplify right side
    7,422.95x = 20,893,020.42
  5. Step 5: Solve for x
    x = 20,893,020.42/7,422.95
  6. Step 6: Final answer
    x = 2,814.65

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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.