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Finding the Fourth Proportional to 7,771.42, 10,728.16 and 4,583.64

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Solution

The fourth proportional to 7,771.42, 10,728.16 and 4,583.64 is: 6,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.42 : 10,728.16 = 4,583.64 : x
  2. Step 2: Convert to fraction form
    7,771.42/10,728.16 = 4,583.64/x
  3. Step 3: Cross multiply
    7,771.42x = 10,728.16 × 4,583.64
  4. Step 4: Simplify right side
    7,771.42x = 49,174,011.84
  5. Step 5: Solve for x
    x = 49,174,011.84/7,771.42
  6. Step 6: Final answer
    x = 6,327.55

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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.