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Finding the Fourth Proportional to 8,365.10, 12,549.11 and 2,818.50

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Solution

The fourth proportional to 8,365.10, 12,549.11 and 2,818.50 is: 4,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.10 : 12,549.11 = 2,818.50 : x
  2. Step 2: Convert to fraction form
    8,365.10/12,549.11 = 2,818.50/x
  3. Step 3: Cross multiply
    8,365.10x = 12,549.11 × 2,818.50
  4. Step 4: Simplify right side
    8,365.10x = 35,369,615.29
  5. Step 5: Solve for x
    x = 35,369,615.29/8,365.10
  6. Step 6: Final answer
    x = 4,228.23

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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.