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Finding the Fourth Proportional to 10,589.37, 15,884.19 and 4,744.77

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Solution

The fourth proportional to 10,589.37, 15,884.19 and 4,744.77 is: 7,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.37 : 15,884.19 = 4,744.77 : x
  2. Step 2: Convert to fraction form
    10,589.37/15,884.19 = 4,744.77/x
  3. Step 3: Cross multiply
    10,589.37x = 15,884.19 × 4,744.77
  4. Step 4: Simplify right side
    10,589.37x = 75,366,828.19
  5. Step 5: Solve for x
    x = 75,366,828.19/10,589.37
  6. Step 6: Final answer
    x = 7,117.22

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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.