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Finding the Fourth Proportional to 7,728.71, 10,665.63 and 4,191.93

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Solution

The fourth proportional to 7,728.71, 10,665.63 and 4,191.93 is: 5,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.71 : 10,665.63 = 4,191.93 : x
  2. Step 2: Convert to fraction form
    7,728.71/10,665.63 = 4,191.93/x
  3. Step 3: Cross multiply
    7,728.71x = 10,665.63 × 4,191.93
  4. Step 4: Simplify right side
    7,728.71x = 44,709,574.37
  5. Step 5: Solve for x
    x = 44,709,574.37/7,728.71
  6. Step 6: Final answer
    x = 5,784.87

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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.