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Finding the Fourth Proportional to 7,206.90, 10,805.10 and 4,861.08

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Solution

The fourth proportional to 7,206.90, 10,805.10 and 4,861.08 is: 7,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.90 : 10,805.10 = 4,861.08 : x
  2. Step 2: Convert to fraction form
    7,206.90/10,805.10 = 4,861.08/x
  3. Step 3: Cross multiply
    7,206.90x = 10,805.10 × 4,861.08
  4. Step 4: Simplify right side
    7,206.90x = 52,524,455.51
  5. Step 5: Solve for x
    x = 52,524,455.51/7,206.90
  6. Step 6: Final answer
    x = 7,288.08

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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.