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Finding the Fourth Proportional to 7,145.65, 9,860.79 and 4,162.51

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Solution

The fourth proportional to 7,145.65, 9,860.79 and 4,162.51 is: 5,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.65 : 9,860.79 = 4,162.51 : x
  2. Step 2: Convert to fraction form
    7,145.65/9,860.79 = 4,162.51/x
  3. Step 3: Cross multiply
    7,145.65x = 9,860.79 × 4,162.51
  4. Step 4: Simplify right side
    7,145.65x = 41,045,636.98
  5. Step 5: Solve for x
    x = 41,045,636.98/7,145.65
  6. Step 6: Final answer
    x = 5,744.14

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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.