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Finding the Fourth Proportional to 8,243.02, 12,364.52 and 5,475.10

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Solution

The fourth proportional to 8,243.02, 12,364.52 and 5,475.10 is: 8,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.02 : 12,364.52 = 5,475.10 : x
  2. Step 2: Convert to fraction form
    8,243.02/12,364.52 = 5,475.10/x
  3. Step 3: Cross multiply
    8,243.02x = 12,364.52 × 5,475.10
  4. Step 4: Simplify right side
    8,243.02x = 67,696,921.63
  5. Step 5: Solve for x
    x = 67,696,921.63/8,243.02
  6. Step 6: Final answer
    x = 8,212.64

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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.