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Finding the Fourth Proportional to 8,224.02, 11,345.08 and 4,865.20

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Solution

The fourth proportional to 8,224.02, 11,345.08 and 4,865.20 is: 6,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.02 : 11,345.08 = 4,865.20 : x
  2. Step 2: Convert to fraction form
    8,224.02/11,345.08 = 4,865.20/x
  3. Step 3: Cross multiply
    8,224.02x = 11,345.08 × 4,865.20
  4. Step 4: Simplify right side
    8,224.02x = 55,196,083.22
  5. Step 5: Solve for x
    x = 55,196,083.22/8,224.02
  6. Step 6: Final answer
    x = 6,711.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.