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Finding the Fourth Proportional to 11,565.68, 17,351.28 and 3,774.50

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Solution

The fourth proportional to 11,565.68, 17,351.28 and 3,774.50 is: 5,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.68 : 17,351.28 = 3,774.50 : x
  2. Step 2: Convert to fraction form
    11,565.68/17,351.28 = 3,774.50/x
  3. Step 3: Cross multiply
    11,565.68x = 17,351.28 × 3,774.50
  4. Step 4: Simplify right side
    11,565.68x = 65,492,406.36
  5. Step 5: Solve for x
    x = 65,492,406.36/11,565.68
  6. Step 6: Final answer
    x = 5,662.65

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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.