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Finding the Fourth Proportional to 10,838, 14,956.44 and 5,870

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Solution

The fourth proportional to 10,838, 14,956.44 and 5,870 is: 8,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838 : 14,956.44 = 5,870 : x
  2. Step 2: Convert to fraction form
    10,838/14,956.44 = 5,870/x
  3. Step 3: Cross multiply
    10,838x = 14,956.44 × 5,870
  4. Step 4: Simplify right side
    10,838x = 87,794,302.80
  5. Step 5: Solve for x
    x = 87,794,302.80/10,838
  6. Step 6: Final answer
    x = 8,100.60

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