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Finding the Fourth Proportional to 6,810.20, 10,215.30 and 5,946.20

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Solution

The fourth proportional to 6,810.20, 10,215.30 and 5,946.20 is: 8,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.20 : 10,215.30 = 5,946.20 : x
  2. Step 2: Convert to fraction form
    6,810.20/10,215.30 = 5,946.20/x
  3. Step 3: Cross multiply
    6,810.20x = 10,215.30 × 5,946.20
  4. Step 4: Simplify right side
    6,810.20x = 60,742,216.86
  5. Step 5: Solve for x
    x = 60,742,216.86/6,810.20
  6. Step 6: Final answer
    x = 8,919.30

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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.