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Finding the Fourth Proportional to 7,659.80, 11,488.44 and 2,465

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Solution

The fourth proportional to 7,659.80, 11,488.44 and 2,465 is: 3,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.80 : 11,488.44 = 2,465 : x
  2. Step 2: Convert to fraction form
    7,659.80/11,488.44 = 2,465/x
  3. Step 3: Cross multiply
    7,659.80x = 11,488.44 × 2,465
  4. Step 4: Simplify right side
    7,659.80x = 28,319,004.60
  5. Step 5: Solve for x
    x = 28,319,004.60/7,659.80
  6. Step 6: Final answer
    x = 3,697.09

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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.