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Finding the Fourth Proportional to 10,526.92, 15,792 and 3,504.53

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Solution

The fourth proportional to 10,526.92, 15,792 and 3,504.53 is: 5,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.92 : 15,792 = 3,504.53 : x
  2. Step 2: Convert to fraction form
    10,526.92/15,792 = 3,504.53/x
  3. Step 3: Cross multiply
    10,526.92x = 15,792 × 3,504.53
  4. Step 4: Simplify right side
    10,526.92x = 55,343,458.80
  5. Step 5: Solve for x
    x = 55,343,458.80/10,526.92
  6. Step 6: Final answer
    x = 5,257.33

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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.