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Finding the Fourth Proportional to 8,740.82, 12,062.31 and 4,761.93

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Solution

The fourth proportional to 8,740.82, 12,062.31 and 4,761.93 is: 6,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.82 : 12,062.31 = 4,761.93 : x
  2. Step 2: Convert to fraction form
    8,740.82/12,062.31 = 4,761.93/x
  3. Step 3: Cross multiply
    8,740.82x = 12,062.31 × 4,761.93
  4. Step 4: Simplify right side
    8,740.82x = 57,439,875.86
  5. Step 5: Solve for x
    x = 57,439,875.86/8,740.82
  6. Step 6: Final answer
    x = 6,571.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.