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Finding the Fourth Proportional to 7,961.95, 11,943.04 and 3,031.86

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Solution

The fourth proportional to 7,961.95, 11,943.04 and 3,031.86 is: 4,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.95 : 11,943.04 = 3,031.86 : x
  2. Step 2: Convert to fraction form
    7,961.95/11,943.04 = 3,031.86/x
  3. Step 3: Cross multiply
    7,961.95x = 11,943.04 × 3,031.86
  4. Step 4: Simplify right side
    7,961.95x = 36,209,610.10
  5. Step 5: Solve for x
    x = 36,209,610.10/7,961.95
  6. Step 6: Final answer
    x = 4,547.83

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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.