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Finding the Fourth Proportional to 8,089.91, 12,123.18 and 4,572.50

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Solution

The fourth proportional to 8,089.91, 12,123.18 and 4,572.50 is: 6,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.91 : 12,123.18 = 4,572.50 : x
  2. Step 2: Convert to fraction form
    8,089.91/12,123.18 = 4,572.50/x
  3. Step 3: Cross multiply
    8,089.91x = 12,123.18 × 4,572.50
  4. Step 4: Simplify right side
    8,089.91x = 55,433,240.55
  5. Step 5: Solve for x
    x = 55,433,240.55/8,089.91
  6. Step 6: Final answer
    x = 6,852.15

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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.