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Finding the Fourth Proportional to 10,910.67, 16,355.07 and 9,598.47

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Solution

The fourth proportional to 10,910.67, 16,355.07 and 9,598.47 is: 14,388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.67 : 16,355.07 = 9,598.47 : x
  2. Step 2: Convert to fraction form
    10,910.67/16,355.07 = 9,598.47/x
  3. Step 3: Cross multiply
    10,910.67x = 16,355.07 × 9,598.47
  4. Step 4: Simplify right side
    10,910.67x = 156,983,648.74
  5. Step 5: Solve for x
    x = 156,983,648.74/10,910.67
  6. Step 6: Final answer
    x = 14,388.09

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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.