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Finding the Fourth Proportional to 8,539.50, 11,784.51 and 5,398.32

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Solution

The fourth proportional to 8,539.50, 11,784.51 and 5,398.32 is: 7,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.50 : 11,784.51 = 5,398.32 : x
  2. Step 2: Convert to fraction form
    8,539.50/11,784.51 = 5,398.32/x
  3. Step 3: Cross multiply
    8,539.50x = 11,784.51 × 5,398.32
  4. Step 4: Simplify right side
    8,539.50x = 63,616,556.02
  5. Step 5: Solve for x
    x = 63,616,556.02/8,539.50
  6. Step 6: Final answer
    x = 7,449.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.