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Finding the Fourth Proportional to 7,728.08, 10,664.64 and 4,191.22

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Solution

The fourth proportional to 7,728.08, 10,664.64 and 4,191.22 is: 5,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.08 : 10,664.64 = 4,191.22 : x
  2. Step 2: Convert to fraction form
    7,728.08/10,664.64 = 4,191.22/x
  3. Step 3: Cross multiply
    7,728.08x = 10,664.64 × 4,191.22
  4. Step 4: Simplify right side
    7,728.08x = 44,697,852.46
  5. Step 5: Solve for x
    x = 44,697,852.46/7,728.08
  6. Step 6: Final answer
    x = 5,783.82

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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.