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Finding the Fourth Proportional to 8,264.74, 11,401.62 and 4,907.70

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Solution

The fourth proportional to 8,264.74, 11,401.62 and 4,907.70 is: 6,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.74 : 11,401.62 = 4,907.70 : x
  2. Step 2: Convert to fraction form
    8,264.74/11,401.62 = 4,907.70/x
  3. Step 3: Cross multiply
    8,264.74x = 11,401.62 × 4,907.70
  4. Step 4: Simplify right side
    8,264.74x = 55,955,730.47
  5. Step 5: Solve for x
    x = 55,955,730.47/8,264.74
  6. Step 6: Final answer
    x = 6,770.42

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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.