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Finding the Fourth Proportional to 10,140.65, 13,992.59 and 5,950.25

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Solution

The fourth proportional to 10,140.65, 13,992.59 and 5,950.25 is: 8,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.65 : 13,992.59 = 5,950.25 : x
  2. Step 2: Convert to fraction form
    10,140.65/13,992.59 = 5,950.25/x
  3. Step 3: Cross multiply
    10,140.65x = 13,992.59 × 5,950.25
  4. Step 4: Simplify right side
    10,140.65x = 83,259,353.56
  5. Step 5: Solve for x
    x = 83,259,353.56/10,140.65
  6. Step 6: Final answer
    x = 8,210.46

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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.