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Finding the Fourth Proportional to 10,916.49, 15,071.82 and 8,522.34

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Solution

The fourth proportional to 10,916.49, 15,071.82 and 8,522.34 is: 11,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.49 : 15,071.82 = 8,522.34 : x
  2. Step 2: Convert to fraction form
    10,916.49/15,071.82 = 8,522.34/x
  3. Step 3: Cross multiply
    10,916.49x = 15,071.82 × 8,522.34
  4. Step 4: Simplify right side
    10,916.49x = 128,447,174.46
  5. Step 5: Solve for x
    x = 128,447,174.46/10,916.49
  6. Step 6: Final answer
    x = 11,766.34

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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.