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Finding the Fourth Proportional to 7,666.48, 11,490.10 and 3,278.78

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Solution

The fourth proportional to 7,666.48, 11,490.10 and 3,278.78 is: 4,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.48 : 11,490.10 = 3,278.78 : x
  2. Step 2: Convert to fraction form
    7,666.48/11,490.10 = 3,278.78/x
  3. Step 3: Cross multiply
    7,666.48x = 11,490.10 × 3,278.78
  4. Step 4: Simplify right side
    7,666.48x = 37,673,510.08
  5. Step 5: Solve for x
    x = 37,673,510.08/7,666.48
  6. Step 6: Final answer
    x = 4,914.06

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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.