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Finding the Fourth Proportional to 7,056.80, 10,585.20 and 4,471.20

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Solution

The fourth proportional to 7,056.80, 10,585.20 and 4,471.20 is: 6,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.80 : 10,585.20 = 4,471.20 : x
  2. Step 2: Convert to fraction form
    7,056.80/10,585.20 = 4,471.20/x
  3. Step 3: Cross multiply
    7,056.80x = 10,585.20 × 4,471.20
  4. Step 4: Simplify right side
    7,056.80x = 47,328,546.24
  5. Step 5: Solve for x
    x = 47,328,546.24/7,056.80
  6. Step 6: Final answer
    x = 6,706.80

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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.