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Finding the Fourth Proportional to 7,204.60, 10,785.30 and 4,281.40

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Solution

The fourth proportional to 7,204.60, 10,785.30 and 4,281.40 is: 6,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.60 : 10,785.30 = 4,281.40 : x
  2. Step 2: Convert to fraction form
    7,204.60/10,785.30 = 4,281.40/x
  3. Step 3: Cross multiply
    7,204.60x = 10,785.30 × 4,281.40
  4. Step 4: Simplify right side
    7,204.60x = 46,176,183.42
  5. Step 5: Solve for x
    x = 46,176,183.42/7,204.60
  6. Step 6: Final answer
    x = 6,409.26

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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.