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Finding the Fourth Proportional to 8,533.23, 12,801.06 and 4,147.70

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Solution

The fourth proportional to 8,533.23, 12,801.06 and 4,147.70 is: 6,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.23 : 12,801.06 = 4,147.70 : x
  2. Step 2: Convert to fraction form
    8,533.23/12,801.06 = 4,147.70/x
  3. Step 3: Cross multiply
    8,533.23x = 12,801.06 × 4,147.70
  4. Step 4: Simplify right side
    8,533.23x = 53,094,892.56
  5. Step 5: Solve for x
    x = 53,094,892.56/8,533.23
  6. Step 6: Final answer
    x = 6,222.13

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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.