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Finding the Fourth Proportional to 10,833.28, 14,950 and 6,357.12

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Solution

The fourth proportional to 10,833.28, 14,950 and 6,357.12 is: 8,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.28 : 14,950 = 6,357.12 : x
  2. Step 2: Convert to fraction form
    10,833.28/14,950 = 6,357.12/x
  3. Step 3: Cross multiply
    10,833.28x = 14,950 × 6,357.12
  4. Step 4: Simplify right side
    10,833.28x = 95,038,944
  5. Step 5: Solve for x
    x = 95,038,944/10,833.28
  6. Step 6: Final answer
    x = 8,772.87

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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.