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Finding the Fourth Proportional to 11,314.69, 15,613.57 and 6,835.80

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Solution

The fourth proportional to 11,314.69, 15,613.57 and 6,835.80 is: 9,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.69 : 15,613.57 = 6,835.80 : x
  2. Step 2: Convert to fraction form
    11,314.69/15,613.57 = 6,835.80/x
  3. Step 3: Cross multiply
    11,314.69x = 15,613.57 × 6,835.80
  4. Step 4: Simplify right side
    11,314.69x = 106,731,241.81
  5. Step 5: Solve for x
    x = 106,731,241.81/11,314.69
  6. Step 6: Final answer
    x = 9,432.98

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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.