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Finding the Fourth Proportional to 8,038.15, 12,061.32 and 4,711.20

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Solution

The fourth proportional to 8,038.15, 12,061.32 and 4,711.20 is: 7,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.15 : 12,061.32 = 4,711.20 : x
  2. Step 2: Convert to fraction form
    8,038.15/12,061.32 = 4,711.20/x
  3. Step 3: Cross multiply
    8,038.15x = 12,061.32 × 4,711.20
  4. Step 4: Simplify right side
    8,038.15x = 56,823,290.78
  5. Step 5: Solve for x
    x = 56,823,290.78/8,038.15
  6. Step 6: Final answer
    x = 7,069.20

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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.