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Finding the Fourth Proportional to 8,972.07, 13,460.25 and 2,816.07

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Solution

The fourth proportional to 8,972.07, 13,460.25 and 2,816.07 is: 4,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.07 : 13,460.25 = 2,816.07 : x
  2. Step 2: Convert to fraction form
    8,972.07/13,460.25 = 2,816.07/x
  3. Step 3: Cross multiply
    8,972.07x = 13,460.25 × 2,816.07
  4. Step 4: Simplify right side
    8,972.07x = 37,905,006.22
  5. Step 5: Solve for x
    x = 37,905,006.22/8,972.07
  6. Step 6: Final answer
    x = 4,224.78

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Why These Related Problems?

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