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Finding the Fourth Proportional to 11,856.03, 17,785.05 and 3,535.50

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Solution

The fourth proportional to 11,856.03, 17,785.05 and 3,535.50 is: 5,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.03 : 17,785.05 = 3,535.50 : x
  2. Step 2: Convert to fraction form
    11,856.03/17,785.05 = 3,535.50/x
  3. Step 3: Cross multiply
    11,856.03x = 17,785.05 × 3,535.50
  4. Step 4: Simplify right side
    11,856.03x = 62,879,044.28
  5. Step 5: Solve for x
    x = 62,879,044.28/11,856.03
  6. Step 6: Final answer
    x = 5,303.55

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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.