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Finding the Fourth Proportional to 10,054.26, 13,875.50 and 5,806.10

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Solution

The fourth proportional to 10,054.26, 13,875.50 and 5,806.10 is: 8,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.26 : 13,875.50 = 5,806.10 : x
  2. Step 2: Convert to fraction form
    10,054.26/13,875.50 = 5,806.10/x
  3. Step 3: Cross multiply
    10,054.26x = 13,875.50 × 5,806.10
  4. Step 4: Simplify right side
    10,054.26x = 80,562,589.75
  5. Step 5: Solve for x
    x = 80,562,589.75/10,054.26
  6. Step 6: Final answer
    x = 8,012.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.