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Finding the Fourth Proportional to 7,937.12, 11,883.50 and 5,156.82

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Solution

The fourth proportional to 7,937.12, 11,883.50 and 5,156.82 is: 7,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.12 : 11,883.50 = 5,156.82 : x
  2. Step 2: Convert to fraction form
    7,937.12/11,883.50 = 5,156.82/x
  3. Step 3: Cross multiply
    7,937.12x = 11,883.50 × 5,156.82
  4. Step 4: Simplify right side
    7,937.12x = 61,281,070.47
  5. Step 5: Solve for x
    x = 61,281,070.47/7,937.12
  6. Step 6: Final answer
    x = 7,720.82

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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.