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Finding the Fourth Proportional to 11,347.88, 15,658.86 and 6,311.28

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Solution

The fourth proportional to 11,347.88, 15,658.86 and 6,311.28 is: 8,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.88 : 15,658.86 = 6,311.28 : x
  2. Step 2: Convert to fraction form
    11,347.88/15,658.86 = 6,311.28/x
  3. Step 3: Cross multiply
    11,347.88x = 15,658.86 × 6,311.28
  4. Step 4: Simplify right side
    11,347.88x = 98,827,449.94
  5. Step 5: Solve for x
    x = 98,827,449.94/11,347.88
  6. Step 6: Final answer
    x = 8,708.89

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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.