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Finding the Fourth Proportional to 11,347.53, 15,659.91 and 6,311.91

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Solution

The fourth proportional to 11,347.53, 15,659.91 and 6,311.91 is: 8,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.53 : 15,659.91 = 6,311.91 : x
  2. Step 2: Convert to fraction form
    11,347.53/15,659.91 = 6,311.91/x
  3. Step 3: Cross multiply
    11,347.53x = 15,659.91 × 6,311.91
  4. Step 4: Simplify right side
    11,347.53x = 98,843,942.53
  5. Step 5: Solve for x
    x = 98,843,942.53/11,347.53
  6. Step 6: Final answer
    x = 8,710.61

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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.