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Finding the Fourth Proportional to 8,727.60, 13,091.40 and 5,228.40

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Solution

The fourth proportional to 8,727.60, 13,091.40 and 5,228.40 is: 7,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.60 : 13,091.40 = 5,228.40 : x
  2. Step 2: Convert to fraction form
    8,727.60/13,091.40 = 5,228.40/x
  3. Step 3: Cross multiply
    8,727.60x = 13,091.40 × 5,228.40
  4. Step 4: Simplify right side
    8,727.60x = 68,447,075.76
  5. Step 5: Solve for x
    x = 68,447,075.76/8,727.60
  6. Step 6: Final answer
    x = 7,842.60

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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.