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Finding the Fourth Proportional to 7,761.12, 11,643 and 2,837.64

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Solution

The fourth proportional to 7,761.12, 11,643 and 2,837.64 is: 4,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.12 : 11,643 = 2,837.64 : x
  2. Step 2: Convert to fraction form
    7,761.12/11,643 = 2,837.64/x
  3. Step 3: Cross multiply
    7,761.12x = 11,643 × 2,837.64
  4. Step 4: Simplify right side
    7,761.12x = 33,038,642.52
  5. Step 5: Solve for x
    x = 33,038,642.52/7,761.12
  6. Step 6: Final answer
    x = 4,256.94

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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.