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Finding the Fourth Proportional to 7,130.19, 10,696.44 and 2,198.68

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Solution

The fourth proportional to 7,130.19, 10,696.44 and 2,198.68 is: 3,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.19 : 10,696.44 = 2,198.68 : x
  2. Step 2: Convert to fraction form
    7,130.19/10,696.44 = 2,198.68/x
  3. Step 3: Cross multiply
    7,130.19x = 10,696.44 × 2,198.68
  4. Step 4: Simplify right side
    7,130.19x = 23,518,048.70
  5. Step 5: Solve for x
    x = 23,518,048.70/7,130.19
  6. Step 6: Final answer
    x = 3,298.38

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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.