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Finding the Fourth Proportional to 11,852.66, 17,778.98 and 3,532.46

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Solution

The fourth proportional to 11,852.66, 17,778.98 and 3,532.46 is: 5,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.66 : 17,778.98 = 3,532.46 : x
  2. Step 2: Convert to fraction form
    11,852.66/17,778.98 = 3,532.46/x
  3. Step 3: Cross multiply
    11,852.66x = 17,778.98 × 3,532.46
  4. Step 4: Simplify right side
    11,852.66x = 62,803,588.97
  5. Step 5: Solve for x
    x = 62,803,588.97/11,852.66
  6. Step 6: Final answer
    x = 5,298.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.