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Finding the Fourth Proportional to 7,728.77, 10,665.67 and 4,191.98

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Solution

The fourth proportional to 7,728.77, 10,665.67 and 4,191.98 is: 5,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.77 : 10,665.67 = 4,191.98 : x
  2. Step 2: Convert to fraction form
    7,728.77/10,665.67 = 4,191.98/x
  3. Step 3: Cross multiply
    7,728.77x = 10,665.67 × 4,191.98
  4. Step 4: Simplify right side
    7,728.77x = 44,710,275.33
  5. Step 5: Solve for x
    x = 44,710,275.33/7,728.77
  6. Step 6: Final answer
    x = 5,784.91

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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.