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Finding the Fourth Proportional to 11,069.92, 16,602 and 7,596.64

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Solution

The fourth proportional to 11,069.92, 16,602 and 7,596.64 is: 11,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069.92 : 16,602 = 7,596.64 : x
  2. Step 2: Convert to fraction form
    11,069.92/16,602 = 7,596.64/x
  3. Step 3: Cross multiply
    11,069.92x = 16,602 × 7,596.64
  4. Step 4: Simplify right side
    11,069.92x = 126,119,417.28
  5. Step 5: Solve for x
    x = 126,119,417.28/11,069.92
  6. Step 6: Final answer
    x = 11,392.98

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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.