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Finding the Fourth Proportional to 6,991.68, 10,488.16 and 2,888

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Solution

The fourth proportional to 6,991.68, 10,488.16 and 2,888 is: 4,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.68 : 10,488.16 = 2,888 : x
  2. Step 2: Convert to fraction form
    6,991.68/10,488.16 = 2,888/x
  3. Step 3: Cross multiply
    6,991.68x = 10,488.16 × 2,888
  4. Step 4: Simplify right side
    6,991.68x = 30,289,806.08
  5. Step 5: Solve for x
    x = 30,289,806.08/6,991.68
  6. Step 6: Final answer
    x = 4,332.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.