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Finding the Fourth Proportional to 7,765.02, 11,643.95 and 2,499.06

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Solution

The fourth proportional to 7,765.02, 11,643.95 and 2,499.06 is: 3,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.02 : 11,643.95 = 2,499.06 : x
  2. Step 2: Convert to fraction form
    7,765.02/11,643.95 = 2,499.06/x
  3. Step 3: Cross multiply
    7,765.02x = 11,643.95 × 2,499.06
  4. Step 4: Simplify right side
    7,765.02x = 29,098,917.19
  5. Step 5: Solve for x
    x = 29,098,917.19/7,765.02
  6. Step 6: Final answer
    x = 3,747.44

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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.