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Finding the Fourth Proportional to 11,521.23, 15,895.22 and 6,802.17

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Solution

The fourth proportional to 11,521.23, 15,895.22 and 6,802.17 is: 9,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.23 : 15,895.22 = 6,802.17 : x
  2. Step 2: Convert to fraction form
    11,521.23/15,895.22 = 6,802.17/x
  3. Step 3: Cross multiply
    11,521.23x = 15,895.22 × 6,802.17
  4. Step 4: Simplify right side
    11,521.23x = 108,121,954.62
  5. Step 5: Solve for x
    x = 108,121,954.62/11,521.23
  6. Step 6: Final answer
    x = 9,384.58

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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.