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Finding the Fourth Proportional to 10,588.87, 15,883.44 and 4,744.27

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Solution

The fourth proportional to 10,588.87, 15,883.44 and 4,744.27 is: 7,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.87 : 15,883.44 = 4,744.27 : x
  2. Step 2: Convert to fraction form
    10,588.87/15,883.44 = 4,744.27/x
  3. Step 3: Cross multiply
    10,588.87x = 15,883.44 × 4,744.27
  4. Step 4: Simplify right side
    10,588.87x = 75,355,327.89
  5. Step 5: Solve for x
    x = 75,355,327.89/10,588.87
  6. Step 6: Final answer
    x = 7,116.47

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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.