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Finding the Fourth Proportional to 10,589.11, 15,888.83 and 4,351

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Solution

The fourth proportional to 10,589.11, 15,888.83 and 4,351 is: 6,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.11 : 15,888.83 = 4,351 : x
  2. Step 2: Convert to fraction form
    10,589.11/15,888.83 = 4,351/x
  3. Step 3: Cross multiply
    10,589.11x = 15,888.83 × 4,351
  4. Step 4: Simplify right side
    10,589.11x = 69,132,299.33
  5. Step 5: Solve for x
    x = 69,132,299.33/10,589.11
  6. Step 6: Final answer
    x = 6,528.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.