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Finding the Fourth Proportional to 7,659.11, 11,488.64 and 2,464.98

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Solution

The fourth proportional to 7,659.11, 11,488.64 and 2,464.98 is: 3,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.11 : 11,488.64 = 2,464.98 : x
  2. Step 2: Convert to fraction form
    7,659.11/11,488.64 = 2,464.98/x
  3. Step 3: Cross multiply
    7,659.11x = 11,488.64 × 2,464.98
  4. Step 4: Simplify right side
    7,659.11x = 28,319,255.50
  5. Step 5: Solve for x
    x = 28,319,255.50/7,659.11
  6. Step 6: Final answer
    x = 3,697.46

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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.