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Finding the Fourth Proportional to 7,743.51, 10,672.29 and 6,318.05

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Solution

The fourth proportional to 7,743.51, 10,672.29 and 6,318.05 is: 8,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.51 : 10,672.29 = 6,318.05 : x
  2. Step 2: Convert to fraction form
    7,743.51/10,672.29 = 6,318.05/x
  3. Step 3: Cross multiply
    7,743.51x = 10,672.29 × 6,318.05
  4. Step 4: Simplify right side
    7,743.51x = 67,428,008.47
  5. Step 5: Solve for x
    x = 67,428,008.47/7,743.51
  6. Step 6: Final answer
    x = 8,707.68

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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.