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Finding the Fourth Proportional to 11,314.29, 15,613.18 and 6,278.45

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Solution

The fourth proportional to 11,314.29, 15,613.18 and 6,278.45 is: 8,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.29 : 15,613.18 = 6,278.45 : x
  2. Step 2: Convert to fraction form
    11,314.29/15,613.18 = 6,278.45/x
  3. Step 3: Cross multiply
    11,314.29x = 15,613.18 × 6,278.45
  4. Step 4: Simplify right side
    11,314.29x = 98,026,569.97
  5. Step 5: Solve for x
    x = 98,026,569.97/11,314.29
  6. Step 6: Final answer
    x = 8,663.96

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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.