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Finding the Fourth Proportional to 10,588.92, 15,888.50 and 7,488.85

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Solution

The fourth proportional to 10,588.92, 15,888.50 and 7,488.85 is: 11,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.92 : 15,888.50 = 7,488.85 : x
  2. Step 2: Convert to fraction form
    10,588.92/15,888.50 = 7,488.85/x
  3. Step 3: Cross multiply
    10,588.92x = 15,888.50 × 7,488.85
  4. Step 4: Simplify right side
    10,588.92x = 118,986,555.78
  5. Step 5: Solve for x
    x = 118,986,555.78/10,588.92
  6. Step 6: Final answer
    x = 11,236.89

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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.