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Finding the Fourth Proportional to 10,264.80, 15,389.10 and 5,647.80

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Solution

The fourth proportional to 10,264.80, 15,389.10 and 5,647.80 is: 8,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.80 : 15,389.10 = 5,647.80 : x
  2. Step 2: Convert to fraction form
    10,264.80/15,389.10 = 5,647.80/x
  3. Step 3: Cross multiply
    10,264.80x = 15,389.10 × 5,647.80
  4. Step 4: Simplify right side
    10,264.80x = 86,914,558.98
  5. Step 5: Solve for x
    x = 86,914,558.98/10,264.80
  6. Step 6: Final answer
    x = 8,467.24

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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.