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Finding the Fourth Proportional to 10,842.81, 16,264.77 and 3,052.23

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Solution

The fourth proportional to 10,842.81, 16,264.77 and 3,052.23 is: 4,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.81 : 16,264.77 = 3,052.23 : x
  2. Step 2: Convert to fraction form
    10,842.81/16,264.77 = 3,052.23/x
  3. Step 3: Cross multiply
    10,842.81x = 16,264.77 × 3,052.23
  4. Step 4: Simplify right side
    10,842.81x = 49,643,818.94
  5. Step 5: Solve for x
    x = 49,643,818.94/10,842.81
  6. Step 6: Final answer
    x = 4,578.50

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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.