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Finding the Fourth Proportional to 7,219.60, 10,829.40 and 5,261.20

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Solution

The fourth proportional to 7,219.60, 10,829.40 and 5,261.20 is: 7,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.60 : 10,829.40 = 5,261.20 : x
  2. Step 2: Convert to fraction form
    7,219.60/10,829.40 = 5,261.20/x
  3. Step 3: Cross multiply
    7,219.60x = 10,829.40 × 5,261.20
  4. Step 4: Simplify right side
    7,219.60x = 56,975,639.28
  5. Step 5: Solve for x
    x = 56,975,639.28/7,219.60
  6. Step 6: Final answer
    x = 7,891.80

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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.