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Finding the Fourth Proportional to 7,711.49, 10,642.05 and 4,728.97

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Solution

The fourth proportional to 7,711.49, 10,642.05 and 4,728.97 is: 6,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.49 : 10,642.05 = 4,728.97 : x
  2. Step 2: Convert to fraction form
    7,711.49/10,642.05 = 4,728.97/x
  3. Step 3: Cross multiply
    7,711.49x = 10,642.05 × 4,728.97
  4. Step 4: Simplify right side
    7,711.49x = 50,325,943.50
  5. Step 5: Solve for x
    x = 50,325,943.50/7,711.49
  6. Step 6: Final answer
    x = 6,526.10

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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.