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Finding the Fourth Proportional to 11,215.32, 16,828.73 and 7,708.15

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Solution

The fourth proportional to 11,215.32, 16,828.73 and 7,708.15 is: 11,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.32 : 16,828.73 = 7,708.15 : x
  2. Step 2: Convert to fraction form
    11,215.32/16,828.73 = 7,708.15/x
  3. Step 3: Cross multiply
    11,215.32x = 16,828.73 × 7,708.15
  4. Step 4: Simplify right side
    11,215.32x = 129,718,291.89
  5. Step 5: Solve for x
    x = 129,718,291.89/11,215.32
  6. Step 6: Final answer
    x = 11,566.17

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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.