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Finding the Fourth Proportional to 8,539.85, 11,786.12 and 4,907.32

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Solution

The fourth proportional to 8,539.85, 11,786.12 and 4,907.32 is: 6,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.85 : 11,786.12 = 4,907.32 : x
  2. Step 2: Convert to fraction form
    8,539.85/11,786.12 = 4,907.32/x
  3. Step 3: Cross multiply
    8,539.85x = 11,786.12 × 4,907.32
  4. Step 4: Simplify right side
    8,539.85x = 57,838,262.40
  5. Step 5: Solve for x
    x = 57,838,262.40/8,539.85
  6. Step 6: Final answer
    x = 6,772.75

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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.