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Finding the Fourth Proportional to 8,539.48, 11,784.72 and 5,002.84

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Solution

The fourth proportional to 8,539.48, 11,784.72 and 5,002.84 is: 6,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.48 : 11,784.72 = 5,002.84 : x
  2. Step 2: Convert to fraction form
    8,539.48/11,784.72 = 5,002.84/x
  3. Step 3: Cross multiply
    8,539.48x = 11,784.72 × 5,002.84
  4. Step 4: Simplify right side
    8,539.48x = 58,957,068.60
  5. Step 5: Solve for x
    x = 58,957,068.60/8,539.48
  6. Step 6: Final answer
    x = 6,904.06

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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.