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Finding the Fourth Proportional to 8,038.40, 12,024.96 and 6,954.88

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Solution

The fourth proportional to 8,038.40, 12,024.96 and 6,954.88 is: 10,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.40 : 12,024.96 = 6,954.88 : x
  2. Step 2: Convert to fraction form
    8,038.40/12,024.96 = 6,954.88/x
  3. Step 3: Cross multiply
    8,038.40x = 12,024.96 × 6,954.88
  4. Step 4: Simplify right side
    8,038.40x = 83,632,153.80
  5. Step 5: Solve for x
    x = 83,632,153.80/8,038.40
  6. Step 6: Final answer
    x = 10,404.08

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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.