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Finding the Fourth Proportional to 7,453.44, 10,297.40 and 6,346.17

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Solution

The fourth proportional to 7,453.44, 10,297.40 and 6,346.17 is: 8,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.44 : 10,297.40 = 6,346.17 : x
  2. Step 2: Convert to fraction form
    7,453.44/10,297.40 = 6,346.17/x
  3. Step 3: Cross multiply
    7,453.44x = 10,297.40 × 6,346.17
  4. Step 4: Simplify right side
    7,453.44x = 65,349,019.23
  5. Step 5: Solve for x
    x = 65,349,019.23/7,453.44
  6. Step 6: Final answer
    x = 8,767.63

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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.