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Finding the Fourth Proportional to 8,574.70, 11,833 and 4,797.84

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Solution

The fourth proportional to 8,574.70, 11,833 and 4,797.84 is: 6,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.70 : 11,833 = 4,797.84 : x
  2. Step 2: Convert to fraction form
    8,574.70/11,833 = 4,797.84/x
  3. Step 3: Cross multiply
    8,574.70x = 11,833 × 4,797.84
  4. Step 4: Simplify right side
    8,574.70x = 56,772,840.72
  5. Step 5: Solve for x
    x = 56,772,840.72/8,574.70
  6. Step 6: Final answer
    x = 6,620.97

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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.