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Finding the Fourth Proportional to 7,828.48, 11,750.44 and 5,322

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Solution

The fourth proportional to 7,828.48, 11,750.44 and 5,322 is: 7,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.48 : 11,750.44 = 5,322 : x
  2. Step 2: Convert to fraction form
    7,828.48/11,750.44 = 5,322/x
  3. Step 3: Cross multiply
    7,828.48x = 11,750.44 × 5,322
  4. Step 4: Simplify right side
    7,828.48x = 62,535,841.68
  5. Step 5: Solve for x
    x = 62,535,841.68/7,828.48
  6. Step 6: Final answer
    x = 7,988.25

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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.