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Finding the Fourth Proportional to 10,585.70, 14,609.16 and 5,871.50

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Solution

The fourth proportional to 10,585.70, 14,609.16 and 5,871.50 is: 8,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.70 : 14,609.16 = 5,871.50 : x
  2. Step 2: Convert to fraction form
    10,585.70/14,609.16 = 5,871.50/x
  3. Step 3: Cross multiply
    10,585.70x = 14,609.16 × 5,871.50
  4. Step 4: Simplify right side
    10,585.70x = 85,777,682.94
  5. Step 5: Solve for x
    x = 85,777,682.94/10,585.70
  6. Step 6: Final answer
    x = 8,103.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.