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Finding the Fourth Proportional to 10,472.74, 15,709.44 and 2,681.54

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Solution

The fourth proportional to 10,472.74, 15,709.44 and 2,681.54 is: 4,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.74 : 15,709.44 = 2,681.54 : x
  2. Step 2: Convert to fraction form
    10,472.74/15,709.44 = 2,681.54/x
  3. Step 3: Cross multiply
    10,472.74x = 15,709.44 × 2,681.54
  4. Step 4: Simplify right side
    10,472.74x = 42,125,491.74
  5. Step 5: Solve for x
    x = 42,125,491.74/10,472.74
  6. Step 6: Final answer
    x = 4,022.39

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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.