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Finding the Fourth Proportional to 10,002.78, 15,007.41 and 4,809.06

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Solution

The fourth proportional to 10,002.78, 15,007.41 and 4,809.06 is: 7,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.78 : 15,007.41 = 4,809.06 : x
  2. Step 2: Convert to fraction form
    10,002.78/15,007.41 = 4,809.06/x
  3. Step 3: Cross multiply
    10,002.78x = 15,007.41 × 4,809.06
  4. Step 4: Simplify right side
    10,002.78x = 72,171,535.13
  5. Step 5: Solve for x
    x = 72,171,535.13/10,002.78
  6. Step 6: Final answer
    x = 7,215.15

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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.