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Finding the Fourth Proportional to 7,654.86, 11,483.13 and 3,272.76

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Solution

The fourth proportional to 7,654.86, 11,483.13 and 3,272.76 is: 4,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.86 : 11,483.13 = 3,272.76 : x
  2. Step 2: Convert to fraction form
    7,654.86/11,483.13 = 3,272.76/x
  3. Step 3: Cross multiply
    7,654.86x = 11,483.13 × 3,272.76
  4. Step 4: Simplify right side
    7,654.86x = 37,581,528.54
  5. Step 5: Solve for x
    x = 37,581,528.54/7,654.86
  6. Step 6: Final answer
    x = 4,909.50

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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.