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Finding the Fourth Proportional to 7,313.76, 10,089.36 and 5,214.24

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Solution

The fourth proportional to 7,313.76, 10,089.36 and 5,214.24 is: 7,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.76 : 10,089.36 = 5,214.24 : x
  2. Step 2: Convert to fraction form
    7,313.76/10,089.36 = 5,214.24/x
  3. Step 3: Cross multiply
    7,313.76x = 10,089.36 × 5,214.24
  4. Step 4: Simplify right side
    7,313.76x = 52,608,344.49
  5. Step 5: Solve for x
    x = 52,608,344.49/7,313.76
  6. Step 6: Final answer
    x = 7,193.06

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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.