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Finding the Fourth Proportional to 7,710.72, 11,564.73 and 3,327

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Solution

The fourth proportional to 7,710.72, 11,564.73 and 3,327 is: 4,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.72 : 11,564.73 = 3,327 : x
  2. Step 2: Convert to fraction form
    7,710.72/11,564.73 = 3,327/x
  3. Step 3: Cross multiply
    7,710.72x = 11,564.73 × 3,327
  4. Step 4: Simplify right side
    7,710.72x = 38,475,856.71
  5. Step 5: Solve for x
    x = 38,475,856.71/7,710.72
  6. Step 6: Final answer
    x = 4,989.92

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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.