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Finding the Fourth Proportional to 11,537.50, 15,920.67 and 6,500.89

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Solution

The fourth proportional to 11,537.50, 15,920.67 and 6,500.89 is: 8,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.50 : 15,920.67 = 6,500.89 : x
  2. Step 2: Convert to fraction form
    11,537.50/15,920.67 = 6,500.89/x
  3. Step 3: Cross multiply
    11,537.50x = 15,920.67 × 6,500.89
  4. Step 4: Simplify right side
    11,537.50x = 103,498,524.40
  5. Step 5: Solve for x
    x = 103,498,524.40/11,537.50
  6. Step 6: Final answer
    x = 8,970.62

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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.