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Finding the Fourth Proportional to 6,783.90, 10,175.85 and 6,114.30

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Solution

The fourth proportional to 6,783.90, 10,175.85 and 6,114.30 is: 9,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.90 : 10,175.85 = 6,114.30 : x
  2. Step 2: Convert to fraction form
    6,783.90/10,175.85 = 6,114.30/x
  3. Step 3: Cross multiply
    6,783.90x = 10,175.85 × 6,114.30
  4. Step 4: Simplify right side
    6,783.90x = 62,218,199.66
  5. Step 5: Solve for x
    x = 62,218,199.66/6,783.90
  6. Step 6: Final answer
    x = 9,171.45

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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.