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Finding the Fourth Proportional to 10,532.84, 15,803.10 and 3,608.04

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Solution

The fourth proportional to 10,532.84, 15,803.10 and 3,608.04 is: 5,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.84 : 15,803.10 = 3,608.04 : x
  2. Step 2: Convert to fraction form
    10,532.84/15,803.10 = 3,608.04/x
  3. Step 3: Cross multiply
    10,532.84x = 15,803.10 × 3,608.04
  4. Step 4: Simplify right side
    10,532.84x = 57,018,216.92
  5. Step 5: Solve for x
    x = 57,018,216.92/10,532.84
  6. Step 6: Final answer
    x = 5,413.38

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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.