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Finding the Fourth Proportional to 11,456.46, 15,809.94 and 6,980.22

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Solution

The fourth proportional to 11,456.46, 15,809.94 and 6,980.22 is: 9,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.46 : 15,809.94 = 6,980.22 : x
  2. Step 2: Convert to fraction form
    11,456.46/15,809.94 = 6,980.22/x
  3. Step 3: Cross multiply
    11,456.46x = 15,809.94 × 6,980.22
  4. Step 4: Simplify right side
    11,456.46x = 110,356,859.39
  5. Step 5: Solve for x
    x = 110,356,859.39/11,456.46
  6. Step 6: Final answer
    x = 9,632.72

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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.