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Finding the Fourth Proportional to 11,337.80, 17,006.58 and 3,546.68

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Solution

The fourth proportional to 11,337.80, 17,006.58 and 3,546.68 is: 5,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.80 : 17,006.58 = 3,546.68 : x
  2. Step 2: Convert to fraction form
    11,337.80/17,006.58 = 3,546.68/x
  3. Step 3: Cross multiply
    11,337.80x = 17,006.58 × 3,546.68
  4. Step 4: Simplify right side
    11,337.80x = 60,316,897.15
  5. Step 5: Solve for x
    x = 60,316,897.15/11,337.80
  6. Step 6: Final answer
    x = 5,319.98

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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.