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Finding the Fourth Proportional to 10,697.57, 16,047.89 and 3,302.66

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Solution

The fourth proportional to 10,697.57, 16,047.89 and 3,302.66 is: 4,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.57 : 16,047.89 = 3,302.66 : x
  2. Step 2: Convert to fraction form
    10,697.57/16,047.89 = 3,302.66/x
  3. Step 3: Cross multiply
    10,697.57x = 16,047.89 × 3,302.66
  4. Step 4: Simplify right side
    10,697.57x = 53,000,772.76
  5. Step 5: Solve for x
    x = 53,000,772.76/10,697.57
  6. Step 6: Final answer
    x = 4,954.47

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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.