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Finding the Fourth Proportional to 10,257.89, 14,152.44 and 8,366.19

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Solution

The fourth proportional to 10,257.89, 14,152.44 and 8,366.19 is: 11,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.89 : 14,152.44 = 8,366.19 : x
  2. Step 2: Convert to fraction form
    10,257.89/14,152.44 = 8,366.19/x
  3. Step 3: Cross multiply
    10,257.89x = 14,152.44 × 8,366.19
  4. Step 4: Simplify right side
    10,257.89x = 118,402,002.00
  5. Step 5: Solve for x
    x = 118,402,002.00/10,257.89
  6. Step 6: Final answer
    x = 11,542.54

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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.