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Finding the Fourth Proportional to 8,454.47, 11,670.98 and 5,626.85

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Solution

The fourth proportional to 8,454.47, 11,670.98 and 5,626.85 is: 7,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.47 : 11,670.98 = 5,626.85 : x
  2. Step 2: Convert to fraction form
    8,454.47/11,670.98 = 5,626.85/x
  3. Step 3: Cross multiply
    8,454.47x = 11,670.98 × 5,626.85
  4. Step 4: Simplify right side
    8,454.47x = 65,670,767.32
  5. Step 5: Solve for x
    x = 65,670,767.32/8,454.47
  6. Step 6: Final answer
    x = 7,767.58

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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.