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Finding the Fourth Proportional to 10,807, 14,913.66 and 5,839

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Solution

The fourth proportional to 10,807, 14,913.66 and 5,839 is: 8,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807 : 14,913.66 = 5,839 : x
  2. Step 2: Convert to fraction form
    10,807/14,913.66 = 5,839/x
  3. Step 3: Cross multiply
    10,807x = 14,913.66 × 5,839
  4. Step 4: Simplify right side
    10,807x = 87,080,860.74
  5. Step 5: Solve for x
    x = 87,080,860.74/10,807
  6. Step 6: Final answer
    x = 8,057.82

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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.