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Finding the Fourth Proportional to 7,728.64, 10,665.52 and 4,191.86

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Solution

The fourth proportional to 7,728.64, 10,665.52 and 4,191.86 is: 5,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.64 : 10,665.52 = 4,191.86 : x
  2. Step 2: Convert to fraction form
    7,728.64/10,665.52 = 4,191.86/x
  3. Step 3: Cross multiply
    7,728.64x = 10,665.52 × 4,191.86
  4. Step 4: Simplify right side
    7,728.64x = 44,708,366.67
  5. Step 5: Solve for x
    x = 44,708,366.67/7,728.64
  6. Step 6: Final answer
    x = 5,784.77

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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.