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Finding the Fourth Proportional to 7,774.88, 11,662.35 and 2,580.75

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Solution

The fourth proportional to 7,774.88, 11,662.35 and 2,580.75 is: 3,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.88 : 11,662.35 = 2,580.75 : x
  2. Step 2: Convert to fraction form
    7,774.88/11,662.35 = 2,580.75/x
  3. Step 3: Cross multiply
    7,774.88x = 11,662.35 × 2,580.75
  4. Step 4: Simplify right side
    7,774.88x = 30,097,609.76
  5. Step 5: Solve for x
    x = 30,097,609.76/7,774.88
  6. Step 6: Final answer
    x = 3,871.14

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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.