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Finding the Fourth Proportional to 7,761.93, 11,685.27 and 5,312.16

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Solution

The fourth proportional to 7,761.93, 11,685.27 and 5,312.16 is: 7,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.93 : 11,685.27 = 5,312.16 : x
  2. Step 2: Convert to fraction form
    7,761.93/11,685.27 = 5,312.16/x
  3. Step 3: Cross multiply
    7,761.93x = 11,685.27 × 5,312.16
  4. Step 4: Simplify right side
    7,761.93x = 62,074,023.88
  5. Step 5: Solve for x
    x = 62,074,023.88/7,761.93
  6. Step 6: Final answer
    x = 7,997.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.