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Finding the Fourth Proportional to 8,123.01, 11,209.76 and 4,586.22

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Solution

The fourth proportional to 8,123.01, 11,209.76 and 4,586.22 is: 6,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.01 : 11,209.76 = 4,586.22 : x
  2. Step 2: Convert to fraction form
    8,123.01/11,209.76 = 4,586.22/x
  3. Step 3: Cross multiply
    8,123.01x = 11,209.76 × 4,586.22
  4. Step 4: Simplify right side
    8,123.01x = 51,410,402.58
  5. Step 5: Solve for x
    x = 51,410,402.58/8,123.01
  6. Step 6: Final answer
    x = 6,328.98

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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.