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Finding the Fourth Proportional to 10,758.36, 14,842.37 and 7,932.45

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Solution

The fourth proportional to 10,758.36, 14,842.37 and 7,932.45 is: 10,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.36 : 14,842.37 = 7,932.45 : x
  2. Step 2: Convert to fraction form
    10,758.36/14,842.37 = 7,932.45/x
  3. Step 3: Cross multiply
    10,758.36x = 14,842.37 × 7,932.45
  4. Step 4: Simplify right side
    10,758.36x = 117,736,357.91
  5. Step 5: Solve for x
    x = 117,736,357.91/10,758.36
  6. Step 6: Final answer
    x = 10,943.71

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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.