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Finding the Fourth Proportional to 10,837, 14,955.06 and 5,869

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Solution

The fourth proportional to 10,837, 14,955.06 and 5,869 is: 8,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837 : 14,955.06 = 5,869 : x
  2. Step 2: Convert to fraction form
    10,837/14,955.06 = 5,869/x
  3. Step 3: Cross multiply
    10,837x = 14,955.06 × 5,869
  4. Step 4: Simplify right side
    10,837x = 87,771,247.14
  5. Step 5: Solve for x
    x = 87,771,247.14/10,837
  6. Step 6: Final answer
    x = 8,099.22

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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.