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Finding the Fourth Proportional to 8,533.33, 11,775.43 and 5,346.54

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Solution

The fourth proportional to 8,533.33, 11,775.43 and 5,346.54 is: 7,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.33 : 11,775.43 = 5,346.54 : x
  2. Step 2: Convert to fraction form
    8,533.33/11,775.43 = 5,346.54/x
  3. Step 3: Cross multiply
    8,533.33x = 11,775.43 × 5,346.54
  4. Step 4: Simplify right side
    8,533.33x = 62,957,784.12
  5. Step 5: Solve for x
    x = 62,957,784.12/8,533.33
  6. Step 6: Final answer
    x = 7,377.87

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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.