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Finding the Fourth Proportional to 11,206.58, 16,812.29 and 5,587.31

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Solution

The fourth proportional to 11,206.58, 16,812.29 and 5,587.31 is: 8,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.58 : 16,812.29 = 5,587.31 : x
  2. Step 2: Convert to fraction form
    11,206.58/16,812.29 = 5,587.31/x
  3. Step 3: Cross multiply
    11,206.58x = 16,812.29 × 5,587.31
  4. Step 4: Simplify right side
    11,206.58x = 93,935,490.13
  5. Step 5: Solve for x
    x = 93,935,490.13/11,206.58
  6. Step 6: Final answer
    x = 8,382.17

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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.