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Finding the Fourth Proportional to 10,756.45, 14,853.68 and 8,099.25

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Solution

The fourth proportional to 10,756.45, 14,853.68 and 8,099.25 is: 11,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.45 : 14,853.68 = 8,099.25 : x
  2. Step 2: Convert to fraction form
    10,756.45/14,853.68 = 8,099.25/x
  3. Step 3: Cross multiply
    10,756.45x = 14,853.68 × 8,099.25
  4. Step 4: Simplify right side
    10,756.45x = 120,303,667.74
  5. Step 5: Solve for x
    x = 120,303,667.74/10,756.45
  6. Step 6: Final answer
    x = 11,184.33

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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.