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Finding the Fourth Proportional to 7,738.71, 10,679.43 and 4,754.53

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Solution

The fourth proportional to 7,738.71, 10,679.43 and 4,754.53 is: 6,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.71 : 10,679.43 = 4,754.53 : x
  2. Step 2: Convert to fraction form
    7,738.71/10,679.43 = 4,754.53/x
  3. Step 3: Cross multiply
    7,738.71x = 10,679.43 × 4,754.53
  4. Step 4: Simplify right side
    7,738.71x = 50,775,670.32
  5. Step 5: Solve for x
    x = 50,775,670.32/7,738.71
  6. Step 6: Final answer
    x = 6,561.26

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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.