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Finding the Fourth Proportional to 7,652.14, 11,468.62 and 3,264.46

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Solution

The fourth proportional to 7,652.14, 11,468.62 and 3,264.46 is: 4,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.14 : 11,468.62 = 3,264.46 : x
  2. Step 2: Convert to fraction form
    7,652.14/11,468.62 = 3,264.46/x
  3. Step 3: Cross multiply
    7,652.14x = 11,468.62 × 3,264.46
  4. Step 4: Simplify right side
    7,652.14x = 37,438,851.25
  5. Step 5: Solve for x
    x = 37,438,851.25/7,652.14
  6. Step 6: Final answer
    x = 4,892.60

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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.