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Finding the Fourth Proportional to 7,856.74, 11,778.63 and 3,236.50

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Solution

The fourth proportional to 7,856.74, 11,778.63 and 3,236.50 is: 4,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.74 : 11,778.63 = 3,236.50 : x
  2. Step 2: Convert to fraction form
    7,856.74/11,778.63 = 3,236.50/x
  3. Step 3: Cross multiply
    7,856.74x = 11,778.63 × 3,236.50
  4. Step 4: Simplify right side
    7,856.74x = 38,121,536.00
  5. Step 5: Solve for x
    x = 38,121,536.00/7,856.74
  6. Step 6: Final answer
    x = 4,852.08

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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.