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Finding the Fourth Proportional to 8,957.35, 12,361.17 and 4,978.53

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Solution

The fourth proportional to 8,957.35, 12,361.17 and 4,978.53 is: 6,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.35 : 12,361.17 = 4,978.53 : x
  2. Step 2: Convert to fraction form
    8,957.35/12,361.17 = 4,978.53/x
  3. Step 3: Cross multiply
    8,957.35x = 12,361.17 × 4,978.53
  4. Step 4: Simplify right side
    8,957.35x = 61,540,474.35
  5. Step 5: Solve for x
    x = 61,540,474.35/8,957.35
  6. Step 6: Final answer
    x = 6,870.39

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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.