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Finding the Fourth Proportional to 10,289.67, 15,434.49 and 2,498.47

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Solution

The fourth proportional to 10,289.67, 15,434.49 and 2,498.47 is: 3,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.67 : 15,434.49 = 2,498.47 : x
  2. Step 2: Convert to fraction form
    10,289.67/15,434.49 = 2,498.47/x
  3. Step 3: Cross multiply
    10,289.67x = 15,434.49 × 2,498.47
  4. Step 4: Simplify right side
    10,289.67x = 38,562,610.23
  5. Step 5: Solve for x
    x = 38,562,610.23/10,289.67
  6. Step 6: Final answer
    x = 3,747.70

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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.