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Finding the Fourth Proportional to 10,327.50, 15,491.16 and 7,032.42

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Solution

The fourth proportional to 10,327.50, 15,491.16 and 7,032.42 is: 10,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.50 : 15,491.16 = 7,032.42 : x
  2. Step 2: Convert to fraction form
    10,327.50/15,491.16 = 7,032.42/x
  3. Step 3: Cross multiply
    10,327.50x = 15,491.16 × 7,032.42
  4. Step 4: Simplify right side
    10,327.50x = 108,940,343.41
  5. Step 5: Solve for x
    x = 108,940,343.41/10,327.50
  6. Step 6: Final answer
    x = 10,548.57

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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.