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Finding the Fourth Proportional to 10,448.67, 15,658.26 and 5,770.78

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Solution

The fourth proportional to 10,448.67, 15,658.26 and 5,770.78 is: 8,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.67 : 15,658.26 = 5,770.78 : x
  2. Step 2: Convert to fraction form
    10,448.67/15,658.26 = 5,770.78/x
  3. Step 3: Cross multiply
    10,448.67x = 15,658.26 × 5,770.78
  4. Step 4: Simplify right side
    10,448.67x = 90,360,373.64
  5. Step 5: Solve for x
    x = 90,360,373.64/10,448.67
  6. Step 6: Final answer
    x = 8,648.03

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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.