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Finding the Fourth Proportional to 6,886.42, 10,323.87 and 3,191.30

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Solution

The fourth proportional to 6,886.42, 10,323.87 and 3,191.30 is: 4,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.42 : 10,323.87 = 3,191.30 : x
  2. Step 2: Convert to fraction form
    6,886.42/10,323.87 = 3,191.30/x
  3. Step 3: Cross multiply
    6,886.42x = 10,323.87 × 3,191.30
  4. Step 4: Simplify right side
    6,886.42x = 32,946,541.46
  5. Step 5: Solve for x
    x = 32,946,541.46/6,886.42
  6. Step 6: Final answer
    x = 4,784.28

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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.