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Finding the Fourth Proportional to 8,438.16, 11,630.28 and 5,780.88

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Solution

The fourth proportional to 8,438.16, 11,630.28 and 5,780.88 is: 7,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.16 : 11,630.28 = 5,780.88 : x
  2. Step 2: Convert to fraction form
    8,438.16/11,630.28 = 5,780.88/x
  3. Step 3: Cross multiply
    8,438.16x = 11,630.28 × 5,780.88
  4. Step 4: Simplify right side
    8,438.16x = 67,233,253.05
  5. Step 5: Solve for x
    x = 67,233,253.05/8,438.16
  6. Step 6: Final answer
    x = 7,967.76

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