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Finding the Fourth Proportional to 10,532.68, 15,806 and 5,605.88

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Solution

The fourth proportional to 10,532.68, 15,806 and 5,605.88 is: 8,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.68 : 15,806 = 5,605.88 : x
  2. Step 2: Convert to fraction form
    10,532.68/15,806 = 5,605.88/x
  3. Step 3: Cross multiply
    10,532.68x = 15,806 × 5,605.88
  4. Step 4: Simplify right side
    10,532.68x = 88,606,539.28
  5. Step 5: Solve for x
    x = 88,606,539.28/10,532.68
  6. Step 6: Final answer
    x = 8,412.54

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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.