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Finding the Fourth Proportional to 8,143.47, 11,229.93 and 4,957.20

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Solution

The fourth proportional to 8,143.47, 11,229.93 and 4,957.20 is: 6,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.47 : 11,229.93 = 4,957.20 : x
  2. Step 2: Convert to fraction form
    8,143.47/11,229.93 = 4,957.20/x
  3. Step 3: Cross multiply
    8,143.47x = 11,229.93 × 4,957.20
  4. Step 4: Simplify right side
    8,143.47x = 55,669,009.00
  5. Step 5: Solve for x
    x = 55,669,009.00/8,143.47
  6. Step 6: Final answer
    x = 6,836.03

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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.