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Finding the Fourth Proportional to 10,262.66, 15,394.01 and 2,471.47

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Solution

The fourth proportional to 10,262.66, 15,394.01 and 2,471.47 is: 3,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.66 : 15,394.01 = 2,471.47 : x
  2. Step 2: Convert to fraction form
    10,262.66/15,394.01 = 2,471.47/x
  3. Step 3: Cross multiply
    10,262.66x = 15,394.01 × 2,471.47
  4. Step 4: Simplify right side
    10,262.66x = 38,045,783.05
  5. Step 5: Solve for x
    x = 38,045,783.05/10,262.66
  6. Step 6: Final answer
    x = 3,707.21

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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.