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Finding the Fourth Proportional to 7,247.80, 10,871.70 and 4,477.60

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Solution

The fourth proportional to 7,247.80, 10,871.70 and 4,477.60 is: 6,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.80 : 10,871.70 = 4,477.60 : x
  2. Step 2: Convert to fraction form
    7,247.80/10,871.70 = 4,477.60/x
  3. Step 3: Cross multiply
    7,247.80x = 10,871.70 × 4,477.60
  4. Step 4: Simplify right side
    7,247.80x = 48,679,123.92
  5. Step 5: Solve for x
    x = 48,679,123.92/7,247.80
  6. Step 6: Final answer
    x = 6,716.40

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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.