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Finding the Fourth Proportional to 11,313.92, 15,622.54 and 7,341.82

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Solution

The fourth proportional to 11,313.92, 15,622.54 and 7,341.82 is: 10,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.92 : 15,622.54 = 7,341.82 : x
  2. Step 2: Convert to fraction form
    11,313.92/15,622.54 = 7,341.82/x
  3. Step 3: Cross multiply
    11,313.92x = 15,622.54 × 7,341.82
  4. Step 4: Simplify right side
    11,313.92x = 114,697,819.21
  5. Step 5: Solve for x
    x = 114,697,819.21/11,313.92
  6. Step 6: Final answer
    x = 10,137.76

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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.