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Finding the Fourth Proportional to 7,703.24, 10,631.48 and 5,719.43

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Solution

The fourth proportional to 7,703.24, 10,631.48 and 5,719.43 is: 7,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.24 : 10,631.48 = 5,719.43 : x
  2. Step 2: Convert to fraction form
    7,703.24/10,631.48 = 5,719.43/x
  3. Step 3: Cross multiply
    7,703.24x = 10,631.48 × 5,719.43
  4. Step 4: Simplify right side
    7,703.24x = 60,806,003.64
  5. Step 5: Solve for x
    x = 60,806,003.64/7,703.24
  6. Step 6: Final answer
    x = 7,893.57

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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.