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Finding the Fourth Proportional to 11,314.96, 15,613.80 and 6,346

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Solution

The fourth proportional to 11,314.96, 15,613.80 and 6,346 is: 8,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.96 : 15,613.80 = 6,346 : x
  2. Step 2: Convert to fraction form
    11,314.96/15,613.80 = 6,346/x
  3. Step 3: Cross multiply
    11,314.96x = 15,613.80 × 6,346
  4. Step 4: Simplify right side
    11,314.96x = 99,085,174.80
  5. Step 5: Solve for x
    x = 99,085,174.80/11,314.96
  6. Step 6: Final answer
    x = 8,757.01

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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.