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Finding the Fourth Proportional to 7,442.49, 10,270.22 and 4,457.64

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Solution

The fourth proportional to 7,442.49, 10,270.22 and 4,457.64 is: 6,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.49 : 10,270.22 = 4,457.64 : x
  2. Step 2: Convert to fraction form
    7,442.49/10,270.22 = 4,457.64/x
  3. Step 3: Cross multiply
    7,442.49x = 10,270.22 × 4,457.64
  4. Step 4: Simplify right side
    7,442.49x = 45,780,921.19
  5. Step 5: Solve for x
    x = 45,780,921.19/7,442.49
  6. Step 6: Final answer
    x = 6,151.29

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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.