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Finding the Fourth Proportional to 7,774.43, 11,661.62 and 2,580.30

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Solution

The fourth proportional to 7,774.43, 11,661.62 and 2,580.30 is: 3,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.43 : 11,661.62 = 2,580.30 : x
  2. Step 2: Convert to fraction form
    7,774.43/11,661.62 = 2,580.30/x
  3. Step 3: Cross multiply
    7,774.43x = 11,661.62 × 2,580.30
  4. Step 4: Simplify right side
    7,774.43x = 30,090,465.18
  5. Step 5: Solve for x
    x = 30,090,465.18/7,774.43
  6. Step 6: Final answer
    x = 3,870.44

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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.