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Finding the Fourth Proportional to 7,478.98, 10,246.24 and 7,198.72

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Solution

The fourth proportional to 7,478.98, 10,246.24 and 7,198.72 is: 9,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.98 : 10,246.24 = 7,198.72 : x
  2. Step 2: Convert to fraction form
    7,478.98/10,246.24 = 7,198.72/x
  3. Step 3: Cross multiply
    7,478.98x = 10,246.24 × 7,198.72
  4. Step 4: Simplify right side
    7,478.98x = 73,759,812.81
  5. Step 5: Solve for x
    x = 73,759,812.81/7,478.98
  6. Step 6: Final answer
    x = 9,862.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.