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Finding the Fourth Proportional to 7,145.60, 10,718.40 and 4,380.80

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Solution

The fourth proportional to 7,145.60, 10,718.40 and 4,380.80 is: 6,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.60 : 10,718.40 = 4,380.80 : x
  2. Step 2: Convert to fraction form
    7,145.60/10,718.40 = 4,380.80/x
  3. Step 3: Cross multiply
    7,145.60x = 10,718.40 × 4,380.80
  4. Step 4: Simplify right side
    7,145.60x = 46,955,166.72
  5. Step 5: Solve for x
    x = 46,955,166.72/7,145.60
  6. Step 6: Final answer
    x = 6,571.20

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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.