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Finding the Fourth Proportional to 7,809.14, 11,705.51 and 4,847.58

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Solution

The fourth proportional to 7,809.14, 11,705.51 and 4,847.58 is: 7,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.14 : 11,705.51 = 4,847.58 : x
  2. Step 2: Convert to fraction form
    7,809.14/11,705.51 = 4,847.58/x
  3. Step 3: Cross multiply
    7,809.14x = 11,705.51 × 4,847.58
  4. Step 4: Simplify right side
    7,809.14x = 56,743,408.28
  5. Step 5: Solve for x
    x = 56,743,408.28/7,809.14
  6. Step 6: Final answer
    x = 7,266.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.