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Finding the Fourth Proportional to 10,285.74, 15,416.91 and 6,392.82

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Solution

The fourth proportional to 10,285.74, 15,416.91 and 6,392.82 is: 9,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.74 : 15,416.91 = 6,392.82 : x
  2. Step 2: Convert to fraction form
    10,285.74/15,416.91 = 6,392.82/x
  3. Step 3: Cross multiply
    10,285.74x = 15,416.91 × 6,392.82
  4. Step 4: Simplify right side
    10,285.74x = 98,557,530.59
  5. Step 5: Solve for x
    x = 98,557,530.59/10,285.74
  6. Step 6: Final answer
    x = 9,581.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.