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Finding the Fourth Proportional to 10,580.63, 15,871.17 and 3,560.86

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Solution

The fourth proportional to 10,580.63, 15,871.17 and 3,560.86 is: 5,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.63 : 15,871.17 = 3,560.86 : x
  2. Step 2: Convert to fraction form
    10,580.63/15,871.17 = 3,560.86/x
  3. Step 3: Cross multiply
    10,580.63x = 15,871.17 × 3,560.86
  4. Step 4: Simplify right side
    10,580.63x = 56,514,935.05
  5. Step 5: Solve for x
    x = 56,514,935.05/10,580.63
  6. Step 6: Final answer
    x = 5,341.36

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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.