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Finding the Fourth Proportional to 7,774.50, 11,663.58 and 2,580.39

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Solution

The fourth proportional to 7,774.50, 11,663.58 and 2,580.39 is: 3,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.50 : 11,663.58 = 2,580.39 : x
  2. Step 2: Convert to fraction form
    7,774.50/11,663.58 = 2,580.39/x
  3. Step 3: Cross multiply
    7,774.50x = 11,663.58 × 2,580.39
  4. Step 4: Simplify right side
    7,774.50x = 30,096,585.20
  5. Step 5: Solve for x
    x = 30,096,585.20/7,774.50
  6. Step 6: Final answer
    x = 3,871.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.