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Finding the Fourth Proportional to 8,356.36, 12,527.70 and 4,191.34

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Solution

The fourth proportional to 8,356.36, 12,527.70 and 4,191.34 is: 6,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.36 : 12,527.70 = 4,191.34 : x
  2. Step 2: Convert to fraction form
    8,356.36/12,527.70 = 4,191.34/x
  3. Step 3: Cross multiply
    8,356.36x = 12,527.70 × 4,191.34
  4. Step 4: Simplify right side
    8,356.36x = 52,507,850.12
  5. Step 5: Solve for x
    x = 52,507,850.12/8,356.36
  6. Step 6: Final answer
    x = 6,283.58

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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.