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Finding the Fourth Proportional to 10,829.28, 14,950.71 and 7,476.96

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Solution

The fourth proportional to 10,829.28, 14,950.71 and 7,476.96 is: 10,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.28 : 14,950.71 = 7,476.96 : x
  2. Step 2: Convert to fraction form
    10,829.28/14,950.71 = 7,476.96/x
  3. Step 3: Cross multiply
    10,829.28x = 14,950.71 × 7,476.96
  4. Step 4: Simplify right side
    10,829.28x = 111,785,860.64
  5. Step 5: Solve for x
    x = 111,785,860.64/10,829.28
  6. Step 6: Final answer
    x = 10,322.56

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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.