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Finding the Fourth Proportional to 8,222.50, 11,344.35 and 5,032.47

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Solution

The fourth proportional to 8,222.50, 11,344.35 and 5,032.47 is: 6,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.50 : 11,344.35 = 5,032.47 : x
  2. Step 2: Convert to fraction form
    8,222.50/11,344.35 = 5,032.47/x
  3. Step 3: Cross multiply
    8,222.50x = 11,344.35 × 5,032.47
  4. Step 4: Simplify right side
    8,222.50x = 57,090,101.04
  5. Step 5: Solve for x
    x = 57,090,101.04/8,222.50
  6. Step 6: Final answer
    x = 6,943.16

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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.