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Finding the Fourth Proportional to 7,728.89, 10,665.95 and 4,192.18

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Solution

The fourth proportional to 7,728.89, 10,665.95 and 4,192.18 is: 5,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.89 : 10,665.95 = 4,192.18 : x
  2. Step 2: Convert to fraction form
    7,728.89/10,665.95 = 4,192.18/x
  3. Step 3: Cross multiply
    7,728.89x = 10,665.95 × 4,192.18
  4. Step 4: Simplify right side
    7,728.89x = 44,713,534.65
  5. Step 5: Solve for x
    x = 44,713,534.65/7,728.89
  6. Step 6: Final answer
    x = 5,785.25

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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.