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Finding the Fourth Proportional to 7,393.28, 10,204.80 and 4,408.16

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Solution

The fourth proportional to 7,393.28, 10,204.80 and 4,408.16 is: 6,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.28 : 10,204.80 = 4,408.16 : x
  2. Step 2: Convert to fraction form
    7,393.28/10,204.80 = 4,408.16/x
  3. Step 3: Cross multiply
    7,393.28x = 10,204.80 × 4,408.16
  4. Step 4: Simplify right side
    7,393.28x = 44,984,391.17
  5. Step 5: Solve for x
    x = 44,984,391.17/7,393.28
  6. Step 6: Final answer
    x = 6,084.50

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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.