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Finding the Fourth Proportional to 11,711.22, 16,156.94 and 7,461.52

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Solution

The fourth proportional to 11,711.22, 16,156.94 and 7,461.52 is: 10,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.22 : 16,156.94 = 7,461.52 : x
  2. Step 2: Convert to fraction form
    11,711.22/16,156.94 = 7,461.52/x
  3. Step 3: Cross multiply
    11,711.22x = 16,156.94 × 7,461.52
  4. Step 4: Simplify right side
    11,711.22x = 120,555,330.95
  5. Step 5: Solve for x
    x = 120,555,330.95/11,711.22
  6. Step 6: Final answer
    x = 10,294.01

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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.