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Finding the Fourth Proportional to 11,000.64, 15,179.76 and 7,468.50

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Solution

The fourth proportional to 11,000.64, 15,179.76 and 7,468.50 is: 10,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.64 : 15,179.76 = 7,468.50 : x
  2. Step 2: Convert to fraction form
    11,000.64/15,179.76 = 7,468.50/x
  3. Step 3: Cross multiply
    11,000.64x = 15,179.76 × 7,468.50
  4. Step 4: Simplify right side
    11,000.64x = 113,370,037.56
  5. Step 5: Solve for x
    x = 113,370,037.56/11,000.64
  6. Step 6: Final answer
    x = 10,305.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.