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Finding the Fourth Proportional to 8,541.33, 12,805.16 and 5,733.11

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Solution

The fourth proportional to 8,541.33, 12,805.16 and 5,733.11 is: 8,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.33 : 12,805.16 = 5,733.11 : x
  2. Step 2: Convert to fraction form
    8,541.33/12,805.16 = 5,733.11/x
  3. Step 3: Cross multiply
    8,541.33x = 12,805.16 × 5,733.11
  4. Step 4: Simplify right side
    8,541.33x = 73,413,298.16
  5. Step 5: Solve for x
    x = 73,413,298.16/8,541.33
  6. Step 6: Final answer
    x = 8,595.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.