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Finding the Fourth Proportional to 7,728.30, 11,571.68 and 6,358.17

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Solution

The fourth proportional to 7,728.30, 11,571.68 and 6,358.17 is: 9,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.30 : 11,571.68 = 6,358.17 : x
  2. Step 2: Convert to fraction form
    7,728.30/11,571.68 = 6,358.17/x
  3. Step 3: Cross multiply
    7,728.30x = 11,571.68 × 6,358.17
  4. Step 4: Simplify right side
    7,728.30x = 73,574,676.83
  5. Step 5: Solve for x
    x = 73,574,676.83/7,728.30
  6. Step 6: Final answer
    x = 9,520.16

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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.