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Finding the Fourth Proportional to 8,539.20, 12,808.80 and 5,774.40

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Solution

The fourth proportional to 8,539.20, 12,808.80 and 5,774.40 is: 8,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.20 : 12,808.80 = 5,774.40 : x
  2. Step 2: Convert to fraction form
    8,539.20/12,808.80 = 5,774.40/x
  3. Step 3: Cross multiply
    8,539.20x = 12,808.80 × 5,774.40
  4. Step 4: Simplify right side
    8,539.20x = 73,963,134.72
  5. Step 5: Solve for x
    x = 73,963,134.72/8,539.20
  6. Step 6: Final answer
    x = 8,661.60

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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.