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Finding the Fourth Proportional to 10,550.83, 15,834.03 and 5,004.19

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Solution

The fourth proportional to 10,550.83, 15,834.03 and 5,004.19 is: 7,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.83 : 15,834.03 = 5,004.19 : x
  2. Step 2: Convert to fraction form
    10,550.83/15,834.03 = 5,004.19/x
  3. Step 3: Cross multiply
    10,550.83x = 15,834.03 × 5,004.19
  4. Step 4: Simplify right side
    10,550.83x = 79,236,495.61
  5. Step 5: Solve for x
    x = 79,236,495.61/10,550.83
  6. Step 6: Final answer
    x = 7,509.98

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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.