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Finding the Fourth Proportional to 8,533.04, 11,765.84 and 6,935.32

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Solution

The fourth proportional to 8,533.04, 11,765.84 and 6,935.32 is: 9,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.04 : 11,765.84 = 6,935.32 : x
  2. Step 2: Convert to fraction form
    8,533.04/11,765.84 = 6,935.32/x
  3. Step 3: Cross multiply
    8,533.04x = 11,765.84 × 6,935.32
  4. Step 4: Simplify right side
    8,533.04x = 81,599,806.64
  5. Step 5: Solve for x
    x = 81,599,806.64/8,533.04
  6. Step 6: Final answer
    x = 9,562.81

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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.