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Finding the Fourth Proportional to 10,502.74, 15,754.88 and 3,482.47

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Solution

The fourth proportional to 10,502.74, 15,754.88 and 3,482.47 is: 5,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.74 : 15,754.88 = 3,482.47 : x
  2. Step 2: Convert to fraction form
    10,502.74/15,754.88 = 3,482.47/x
  3. Step 3: Cross multiply
    10,502.74x = 15,754.88 × 3,482.47
  4. Step 4: Simplify right side
    10,502.74x = 54,865,896.95
  5. Step 5: Solve for x
    x = 54,865,896.95/10,502.74
  6. Step 6: Final answer
    x = 5,223.96

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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.