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Finding the Fourth Proportional to 10,697.85, 16,046.74 and 2,906.66

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Solution

The fourth proportional to 10,697.85, 16,046.74 and 2,906.66 is: 4,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.85 : 16,046.74 = 2,906.66 : x
  2. Step 2: Convert to fraction form
    10,697.85/16,046.74 = 2,906.66/x
  3. Step 3: Cross multiply
    10,697.85x = 16,046.74 × 2,906.66
  4. Step 4: Simplify right side
    10,697.85x = 46,642,417.29
  5. Step 5: Solve for x
    x = 46,642,417.29/10,697.85
  6. Step 6: Final answer
    x = 4,359.98

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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.