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Finding the Fourth Proportional to 7,666.20, 11,483.10 and 6,208.20

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Solution

The fourth proportional to 7,666.20, 11,483.10 and 6,208.20 is: 9,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.20 : 11,483.10 = 6,208.20 : x
  2. Step 2: Convert to fraction form
    7,666.20/11,483.10 = 6,208.20/x
  3. Step 3: Cross multiply
    7,666.20x = 11,483.10 × 6,208.20
  4. Step 4: Simplify right side
    7,666.20x = 71,289,381.42
  5. Step 5: Solve for x
    x = 71,289,381.42/7,666.20
  6. Step 6: Final answer
    x = 9,299.18

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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.