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Finding the Fourth Proportional to 10,833.24, 14,950.38 and 6,359.64

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Solution

The fourth proportional to 10,833.24, 14,950.38 and 6,359.64 is: 8,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.24 : 14,950.38 = 6,359.64 : x
  2. Step 2: Convert to fraction form
    10,833.24/14,950.38 = 6,359.64/x
  3. Step 3: Cross multiply
    10,833.24x = 14,950.38 × 6,359.64
  4. Step 4: Simplify right side
    10,833.24x = 95,079,034.66
  5. Step 5: Solve for x
    x = 95,079,034.66/10,833.24
  6. Step 6: Final answer
    x = 8,776.60

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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.