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Finding the Fourth Proportional to 10,697.10, 16,041.51 and 3,675.78

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Solution

The fourth proportional to 10,697.10, 16,041.51 and 3,675.78 is: 5,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.10 : 16,041.51 = 3,675.78 : x
  2. Step 2: Convert to fraction form
    10,697.10/16,041.51 = 3,675.78/x
  3. Step 3: Cross multiply
    10,697.10x = 16,041.51 × 3,675.78
  4. Step 4: Simplify right side
    10,697.10x = 58,965,061.63
  5. Step 5: Solve for x
    x = 58,965,061.63/10,697.10
  6. Step 6: Final answer
    x = 5,512.25

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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.