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Finding the Fourth Proportional to 11,206.68, 16,806.15 and 4,971.08

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Solution

The fourth proportional to 11,206.68, 16,806.15 and 4,971.08 is: 7,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.68 : 16,806.15 = 4,971.08 : x
  2. Step 2: Convert to fraction form
    11,206.68/16,806.15 = 4,971.08/x
  3. Step 3: Cross multiply
    11,206.68x = 16,806.15 × 4,971.08
  4. Step 4: Simplify right side
    11,206.68x = 83,544,632.11
  5. Step 5: Solve for x
    x = 83,544,632.11/11,206.68
  6. Step 6: Final answer
    x = 7,454.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.