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Finding the Fourth Proportional to 8,038.88, 12,061.20 and 3,932

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Solution

The fourth proportional to 8,038.88, 12,061.20 and 3,932 is: 5,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.88 : 12,061.20 = 3,932 : x
  2. Step 2: Convert to fraction form
    8,038.88/12,061.20 = 3,932/x
  3. Step 3: Cross multiply
    8,038.88x = 12,061.20 × 3,932
  4. Step 4: Simplify right side
    8,038.88x = 47,424,638.40
  5. Step 5: Solve for x
    x = 47,424,638.40/8,038.88
  6. Step 6: Final answer
    x = 5,899.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.