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Finding the Fourth Proportional to 11,878.52, 17,800.70 and 5,206.95

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Solution

The fourth proportional to 11,878.52, 17,800.70 and 5,206.95 is: 7,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.52 : 17,800.70 = 5,206.95 : x
  2. Step 2: Convert to fraction form
    11,878.52/17,800.70 = 5,206.95/x
  3. Step 3: Cross multiply
    11,878.52x = 17,800.70 × 5,206.95
  4. Step 4: Simplify right side
    11,878.52x = 92,687,328.83
  5. Step 5: Solve for x
    x = 92,687,328.83/11,878.52
  6. Step 6: Final answer
    x = 7,802.94

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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.