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Finding the Fourth Proportional to 11,383.74, 15,708.42 and 6,347.49

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Solution

The fourth proportional to 11,383.74, 15,708.42 and 6,347.49 is: 8,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.74 : 15,708.42 = 6,347.49 : x
  2. Step 2: Convert to fraction form
    11,383.74/15,708.42 = 6,347.49/x
  3. Step 3: Cross multiply
    11,383.74x = 15,708.42 × 6,347.49
  4. Step 4: Simplify right side
    11,383.74x = 99,709,038.87
  5. Step 5: Solve for x
    x = 99,709,038.87/11,383.74
  6. Step 6: Final answer
    x = 8,758.90

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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.