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Finding the Fourth Proportional to 7,728.74, 10,665.74 and 4,192.01

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Solution

The fourth proportional to 7,728.74, 10,665.74 and 4,192.01 is: 5,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.74 : 10,665.74 = 4,192.01 : x
  2. Step 2: Convert to fraction form
    7,728.74/10,665.74 = 4,192.01/x
  3. Step 3: Cross multiply
    7,728.74x = 10,665.74 × 4,192.01
  4. Step 4: Simplify right side
    7,728.74x = 44,710,888.74
  5. Step 5: Solve for x
    x = 44,710,888.74/7,728.74
  6. Step 6: Final answer
    x = 5,785.02

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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.