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Finding the Fourth Proportional to 10,837.84, 14,956.26 and 5,869.84

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Solution

The fourth proportional to 10,837.84, 14,956.26 and 5,869.84 is: 8,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.84 : 14,956.26 = 5,869.84 : x
  2. Step 2: Convert to fraction form
    10,837.84/14,956.26 = 5,869.84/x
  3. Step 3: Cross multiply
    10,837.84x = 14,956.26 × 5,869.84
  4. Step 4: Simplify right side
    10,837.84x = 87,790,853.20
  5. Step 5: Solve for x
    x = 87,790,853.20/10,837.84
  6. Step 6: Final answer
    x = 8,100.40

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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.