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Finding the Fourth Proportional to 6,784.23, 10,228.67 and 6,742.11

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Solution

The fourth proportional to 6,784.23, 10,228.67 and 6,742.11 is: 10,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.23 : 10,228.67 = 6,742.11 : x
  2. Step 2: Convert to fraction form
    6,784.23/10,228.67 = 6,742.11/x
  3. Step 3: Cross multiply
    6,784.23x = 10,228.67 × 6,742.11
  4. Step 4: Simplify right side
    6,784.23x = 68,962,784.58
  5. Step 5: Solve for x
    x = 68,962,784.58/6,784.23
  6. Step 6: Final answer
    x = 10,165.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.