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Finding the Fourth Proportional to 8,955.38, 12,358.67 and 5,416.53

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Solution

The fourth proportional to 8,955.38, 12,358.67 and 5,416.53 is: 7,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,955.38 : 12,358.67 = 5,416.53 : x
  2. Step 2: Convert to fraction form
    8,955.38/12,358.67 = 5,416.53/x
  3. Step 3: Cross multiply
    8,955.38x = 12,358.67 × 5,416.53
  4. Step 4: Simplify right side
    8,955.38x = 66,941,079.73
  5. Step 5: Solve for x
    x = 66,941,079.73/8,955.38
  6. Step 6: Final answer
    x = 7,474.96

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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.