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Finding the Fourth Proportional to 8,821.64, 12,174 and 4,842.70

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Solution

The fourth proportional to 8,821.64, 12,174 and 4,842.70 is: 6,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.64 : 12,174 = 4,842.70 : x
  2. Step 2: Convert to fraction form
    8,821.64/12,174 = 4,842.70/x
  3. Step 3: Cross multiply
    8,821.64x = 12,174 × 4,842.70
  4. Step 4: Simplify right side
    8,821.64x = 58,955,029.80
  5. Step 5: Solve for x
    x = 58,955,029.80/8,821.64
  6. Step 6: Final answer
    x = 6,683.00

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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.