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Finding the Fourth Proportional to 8,938.20, 12,322.62 and 7,538.52

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Solution

The fourth proportional to 8,938.20, 12,322.62 and 7,538.52 is: 10,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.20 : 12,322.62 = 7,538.52 : x
  2. Step 2: Convert to fraction form
    8,938.20/12,322.62 = 7,538.52/x
  3. Step 3: Cross multiply
    8,938.20x = 12,322.62 × 7,538.52
  4. Step 4: Simplify right side
    8,938.20x = 92,894,317.32
  5. Step 5: Solve for x
    x = 92,894,317.32/8,938.20
  6. Step 6: Final answer
    x = 10,392.96

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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.