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Finding the Fourth Proportional to 7,699.20, 11,549.20 and 2,152.56

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Solution

The fourth proportional to 7,699.20, 11,549.20 and 2,152.56 is: 3,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.20 : 11,549.20 = 2,152.56 : x
  2. Step 2: Convert to fraction form
    7,699.20/11,549.20 = 2,152.56/x
  3. Step 3: Cross multiply
    7,699.20x = 11,549.20 × 2,152.56
  4. Step 4: Simplify right side
    7,699.20x = 24,860,345.95
  5. Step 5: Solve for x
    x = 24,860,345.95/7,699.20
  6. Step 6: Final answer
    x = 3,228.95

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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.