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Finding the Fourth Proportional to 7,847.60, 10,828.72 and 4,490.08

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Solution

The fourth proportional to 7,847.60, 10,828.72 and 4,490.08 is: 6,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.60 : 10,828.72 = 4,490.08 : x
  2. Step 2: Convert to fraction form
    7,847.60/10,828.72 = 4,490.08/x
  3. Step 3: Cross multiply
    7,847.60x = 10,828.72 × 4,490.08
  4. Step 4: Simplify right side
    7,847.60x = 48,621,819.10
  5. Step 5: Solve for x
    x = 48,621,819.10/7,847.60
  6. Step 6: Final answer
    x = 6,195.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.