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Finding the Fourth Proportional to 11,516.34, 15,881.67 and 10,657.26

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Solution

The fourth proportional to 11,516.34, 15,881.67 and 10,657.26 is: 14,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.34 : 15,881.67 = 10,657.26 : x
  2. Step 2: Convert to fraction form
    11,516.34/15,881.67 = 10,657.26/x
  3. Step 3: Cross multiply
    11,516.34x = 15,881.67 × 10,657.26
  4. Step 4: Simplify right side
    11,516.34x = 169,255,086.42
  5. Step 5: Solve for x
    x = 169,255,086.42/11,516.34
  6. Step 6: Final answer
    x = 14,696.95

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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.