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Finding the Fourth Proportional to 10,838, 16,259.16 and 4,682

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Solution

The fourth proportional to 10,838, 16,259.16 and 4,682 is: 7,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838 : 16,259.16 = 4,682 : x
  2. Step 2: Convert to fraction form
    10,838/16,259.16 = 4,682/x
  3. Step 3: Cross multiply
    10,838x = 16,259.16 × 4,682
  4. Step 4: Simplify right side
    10,838x = 76,125,387.12
  5. Step 5: Solve for x
    x = 76,125,387.12/10,838
  6. Step 6: Final answer
    x = 7,023.93

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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.