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Finding the Fourth Proportional to 7,041.49, 10,565.52 and 3,092.23

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Solution

The fourth proportional to 7,041.49, 10,565.52 and 3,092.23 is: 4,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.49 : 10,565.52 = 3,092.23 : x
  2. Step 2: Convert to fraction form
    7,041.49/10,565.52 = 3,092.23/x
  3. Step 3: Cross multiply
    7,041.49x = 10,565.52 × 3,092.23
  4. Step 4: Simplify right side
    7,041.49x = 32,670,991.50
  5. Step 5: Solve for x
    x = 32,670,991.50/7,041.49
  6. Step 6: Final answer
    x = 4,639.79

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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.