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Finding the Fourth Proportional to 7,728.98, 10,654.37 and 6,047.47

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Solution

The fourth proportional to 7,728.98, 10,654.37 and 6,047.47 is: 8,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.98 : 10,654.37 = 6,047.47 : x
  2. Step 2: Convert to fraction form
    7,728.98/10,654.37 = 6,047.47/x
  3. Step 3: Cross multiply
    7,728.98x = 10,654.37 × 6,047.47
  4. Step 4: Simplify right side
    7,728.98x = 64,431,926.07
  5. Step 5: Solve for x
    x = 64,431,926.07/7,728.98
  6. Step 6: Final answer
    x = 8,336.40

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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.