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Finding the Fourth Proportional to 7,023.41, 10,544.38 and 6,443.17

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Solution

The fourth proportional to 7,023.41, 10,544.38 and 6,443.17 is: 9,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.41 : 10,544.38 = 6,443.17 : x
  2. Step 2: Convert to fraction form
    7,023.41/10,544.38 = 6,443.17/x
  3. Step 3: Cross multiply
    7,023.41x = 10,544.38 × 6,443.17
  4. Step 4: Simplify right side
    7,023.41x = 67,939,220.07
  5. Step 5: Solve for x
    x = 67,939,220.07/7,023.41
  6. Step 6: Final answer
    x = 9,673.25

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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.