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Finding the Fourth Proportional to 10,581.82, 14,603.01 and 5,866.21

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Solution

The fourth proportional to 10,581.82, 14,603.01 and 5,866.21 is: 8,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.82 : 14,603.01 = 5,866.21 : x
  2. Step 2: Convert to fraction form
    10,581.82/14,603.01 = 5,866.21/x
  3. Step 3: Cross multiply
    10,581.82x = 14,603.01 × 5,866.21
  4. Step 4: Simplify right side
    10,581.82x = 85,664,323.29
  5. Step 5: Solve for x
    x = 85,664,323.29/10,581.82
  6. Step 6: Final answer
    x = 8,095.42

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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.