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Finding the Fourth Proportional to 10,588.72, 14,613.28 and 5,874.52

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Solution

The fourth proportional to 10,588.72, 14,613.28 and 5,874.52 is: 8,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.72 : 14,613.28 = 5,874.52 : x
  2. Step 2: Convert to fraction form
    10,588.72/14,613.28 = 5,874.52/x
  3. Step 3: Cross multiply
    10,588.72x = 14,613.28 × 5,874.52
  4. Step 4: Simplify right side
    10,588.72x = 85,846,005.63
  5. Step 5: Solve for x
    x = 85,846,005.63/10,588.72
  6. Step 6: Final answer
    x = 8,107.31

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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.