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Finding the Fourth Proportional to 7,867.55, 11,803.01 and 2,602.96

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Solution

The fourth proportional to 7,867.55, 11,803.01 and 2,602.96 is: 3,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.55 : 11,803.01 = 2,602.96 : x
  2. Step 2: Convert to fraction form
    7,867.55/11,803.01 = 2,602.96/x
  3. Step 3: Cross multiply
    7,867.55x = 11,803.01 × 2,602.96
  4. Step 4: Simplify right side
    7,867.55x = 30,722,720.39
  5. Step 5: Solve for x
    x = 30,722,720.39/7,867.55
  6. Step 6: Final answer
    x = 3,904.99

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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.