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Finding the Fourth Proportional to 8,647.04, 11,932.24 and 4,870

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Solution

The fourth proportional to 8,647.04, 11,932.24 and 4,870 is: 6,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.04 : 11,932.24 = 4,870 : x
  2. Step 2: Convert to fraction form
    8,647.04/11,932.24 = 4,870/x
  3. Step 3: Cross multiply
    8,647.04x = 11,932.24 × 4,870
  4. Step 4: Simplify right side
    8,647.04x = 58,110,008.80
  5. Step 5: Solve for x
    x = 58,110,008.80/8,647.04
  6. Step 6: Final answer
    x = 6,720.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.