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Finding the Fourth Proportional to 10,313.52, 15,471.72 and 5,118

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Solution

The fourth proportional to 10,313.52, 15,471.72 and 5,118 is: 7,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.52 : 15,471.72 = 5,118 : x
  2. Step 2: Convert to fraction form
    10,313.52/15,471.72 = 5,118/x
  3. Step 3: Cross multiply
    10,313.52x = 15,471.72 × 5,118
  4. Step 4: Simplify right side
    10,313.52x = 79,184,262.96
  5. Step 5: Solve for x
    x = 79,184,262.96/10,313.52
  6. Step 6: Final answer
    x = 7,677.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.