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Finding the Fourth Proportional to 11,206.08, 16,808.04 and 4,630.50

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Solution

The fourth proportional to 11,206.08, 16,808.04 and 4,630.50 is: 6,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.08 : 16,808.04 = 4,630.50 : x
  2. Step 2: Convert to fraction form
    11,206.08/16,808.04 = 4,630.50/x
  3. Step 3: Cross multiply
    11,206.08x = 16,808.04 × 4,630.50
  4. Step 4: Simplify right side
    11,206.08x = 77,829,629.22
  5. Step 5: Solve for x
    x = 77,829,629.22/11,206.08
  6. Step 6: Final answer
    x = 6,945.30

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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.