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Finding the Fourth Proportional to 8,533.88, 11,772.56 and 7,352.90

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Solution

The fourth proportional to 8,533.88, 11,772.56 and 7,352.90 is: 10,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.88 : 11,772.56 = 7,352.90 : x
  2. Step 2: Convert to fraction form
    8,533.88/11,772.56 = 7,352.90/x
  3. Step 3: Cross multiply
    8,533.88x = 11,772.56 × 7,352.90
  4. Step 4: Simplify right side
    8,533.88x = 86,562,456.42
  5. Step 5: Solve for x
    x = 86,562,456.42/8,533.88
  6. Step 6: Final answer
    x = 10,143.39

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1.5x scale

Why These Related Problems?

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