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Finding the Fourth Proportional to 11,124.40, 16,643.40 and 7,236.40

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Solution

The fourth proportional to 11,124.40, 16,643.40 and 7,236.40 is: 10,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.40 : 16,643.40 = 7,236.40 : x
  2. Step 2: Convert to fraction form
    11,124.40/16,643.40 = 7,236.40/x
  3. Step 3: Cross multiply
    11,124.40x = 16,643.40 × 7,236.40
  4. Step 4: Simplify right side
    11,124.40x = 120,438,299.76
  5. Step 5: Solve for x
    x = 120,438,299.76/11,124.40
  6. Step 6: Final answer
    x = 10,826.50

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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.