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Finding the Fourth Proportional to 7,885.82, 11,807.84 and 4,761.66

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Solution

The fourth proportional to 7,885.82, 11,807.84 and 4,761.66 is: 7,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.82 : 11,807.84 = 4,761.66 : x
  2. Step 2: Convert to fraction form
    7,885.82/11,807.84 = 4,761.66/x
  3. Step 3: Cross multiply
    7,885.82x = 11,807.84 × 4,761.66
  4. Step 4: Simplify right side
    7,885.82x = 56,224,919.41
  5. Step 5: Solve for x
    x = 56,224,919.41/7,885.82
  6. Step 6: Final answer
    x = 7,129.88

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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.