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Finding the Fourth Proportional to 8,384.20, 11,565.06 and 4,978.90

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Solution

The fourth proportional to 8,384.20, 11,565.06 and 4,978.90 is: 6,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.20 : 11,565.06 = 4,978.90 : x
  2. Step 2: Convert to fraction form
    8,384.20/11,565.06 = 4,978.90/x
  3. Step 3: Cross multiply
    8,384.20x = 11,565.06 × 4,978.90
  4. Step 4: Simplify right side
    8,384.20x = 57,581,277.23
  5. Step 5: Solve for x
    x = 57,581,277.23/8,384.20
  6. Step 6: Final answer
    x = 6,867.83

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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.