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Finding the Fourth Proportional to 11,346.97, 15,658.54 and 6,311.18

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Solution

The fourth proportional to 11,346.97, 15,658.54 and 6,311.18 is: 8,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.97 : 15,658.54 = 6,311.18 : x
  2. Step 2: Convert to fraction form
    11,346.97/15,658.54 = 6,311.18/x
  3. Step 3: Cross multiply
    11,346.97x = 15,658.54 × 6,311.18
  4. Step 4: Simplify right side
    11,346.97x = 98,823,864.48
  5. Step 5: Solve for x
    x = 98,823,864.48/11,346.97
  6. Step 6: Final answer
    x = 8,709.27

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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.