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Finding the Fourth Proportional to 7,586.64, 11,380.14 and 2,392.50

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Solution

The fourth proportional to 7,586.64, 11,380.14 and 2,392.50 is: 3,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.64 : 11,380.14 = 2,392.50 : x
  2. Step 2: Convert to fraction form
    7,586.64/11,380.14 = 2,392.50/x
  3. Step 3: Cross multiply
    7,586.64x = 11,380.14 × 2,392.50
  4. Step 4: Simplify right side
    7,586.64x = 27,226,984.95
  5. Step 5: Solve for x
    x = 27,226,984.95/7,586.64
  6. Step 6: Final answer
    x = 3,588.81

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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.