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Finding the Fourth Proportional to 8,024, 12,036.16 and 2,552

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Solution

The fourth proportional to 8,024, 12,036.16 and 2,552 is: 3,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 12,036.16 = 2,552 : x
  2. Step 2: Convert to fraction form
    8,024/12,036.16 = 2,552/x
  3. Step 3: Cross multiply
    8,024x = 12,036.16 × 2,552
  4. Step 4: Simplify right side
    8,024x = 30,716,280.32
  5. Step 5: Solve for x
    x = 30,716,280.32/8,024
  6. Step 6: Final answer
    x = 3,828.05

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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.