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Finding the Fourth Proportional to 10,536.96, 14,541 and 5,821.20

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Solution

The fourth proportional to 10,536.96, 14,541 and 5,821.20 is: 8,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.96 : 14,541 = 5,821.20 : x
  2. Step 2: Convert to fraction form
    10,536.96/14,541 = 5,821.20/x
  3. Step 3: Cross multiply
    10,536.96x = 14,541 × 5,821.20
  4. Step 4: Simplify right side
    10,536.96x = 84,646,069.20
  5. Step 5: Solve for x
    x = 84,646,069.20/10,536.96
  6. Step 6: Final answer
    x = 8,033.25

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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.