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Finding the Fourth Proportional to 10,023.85, 15,035.83 and 5,588.26

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Solution

The fourth proportional to 10,023.85, 15,035.83 and 5,588.26 is: 8,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.85 : 15,035.83 = 5,588.26 : x
  2. Step 2: Convert to fraction form
    10,023.85/15,035.83 = 5,588.26/x
  3. Step 3: Cross multiply
    10,023.85x = 15,035.83 × 5,588.26
  4. Step 4: Simplify right side
    10,023.85x = 84,024,075.80
  5. Step 5: Solve for x
    x = 84,024,075.80/10,023.85
  6. Step 6: Final answer
    x = 8,382.41

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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.