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Finding the Fourth Proportional to 10,556.81, 14,569.13 and 5,841.17

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Solution

The fourth proportional to 10,556.81, 14,569.13 and 5,841.17 is: 8,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.81 : 14,569.13 = 5,841.17 : x
  2. Step 2: Convert to fraction form
    10,556.81/14,569.13 = 5,841.17/x
  3. Step 3: Cross multiply
    10,556.81x = 14,569.13 × 5,841.17
  4. Step 4: Simplify right side
    10,556.81x = 85,100,735.88
  5. Step 5: Solve for x
    x = 85,100,735.88/10,556.81
  6. Step 6: Final answer
    x = 8,061.22

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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.