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Finding the Fourth Proportional to 6,783.60, 10,175.40 and 5,690.10

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Solution

The fourth proportional to 6,783.60, 10,175.40 and 5,690.10 is: 8,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.60 : 10,175.40 = 5,690.10 : x
  2. Step 2: Convert to fraction form
    6,783.60/10,175.40 = 5,690.10/x
  3. Step 3: Cross multiply
    6,783.60x = 10,175.40 × 5,690.10
  4. Step 4: Simplify right side
    6,783.60x = 57,899,043.54
  5. Step 5: Solve for x
    x = 57,899,043.54/6,783.60
  6. Step 6: Final answer
    x = 8,535.15

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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.