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Finding the Fourth Proportional to 8,832.63, 12,189.03 and 4,854

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Solution

The fourth proportional to 8,832.63, 12,189.03 and 4,854 is: 6,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.63 : 12,189.03 = 4,854 : x
  2. Step 2: Convert to fraction form
    8,832.63/12,189.03 = 4,854/x
  3. Step 3: Cross multiply
    8,832.63x = 12,189.03 × 4,854
  4. Step 4: Simplify right side
    8,832.63x = 59,165,551.62
  5. Step 5: Solve for x
    x = 59,165,551.62/8,832.63
  6. Step 6: Final answer
    x = 6,698.52

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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.