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Finding the Fourth Proportional to 11,572.59, 17,356.95 and 3,781.40

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Solution

The fourth proportional to 11,572.59, 17,356.95 and 3,781.40 is: 5,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.59 : 17,356.95 = 3,781.40 : x
  2. Step 2: Convert to fraction form
    11,572.59/17,356.95 = 3,781.40/x
  3. Step 3: Cross multiply
    11,572.59x = 17,356.95 × 3,781.40
  4. Step 4: Simplify right side
    11,572.59x = 65,633,483.95
  5. Step 5: Solve for x
    x = 65,633,483.95/11,572.59
  6. Step 6: Final answer
    x = 5,671.46

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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.