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Finding the Fourth Proportional to 10,516.04, 14,511.92 and 5,736.04

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Solution

The fourth proportional to 10,516.04, 14,511.92 and 5,736.04 is: 7,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.04 : 14,511.92 = 5,736.04 : x
  2. Step 2: Convert to fraction form
    10,516.04/14,511.92 = 5,736.04/x
  3. Step 3: Cross multiply
    10,516.04x = 14,511.92 × 5,736.04
  4. Step 4: Simplify right side
    10,516.04x = 83,240,953.60
  5. Step 5: Solve for x
    x = 83,240,953.60/10,516.04
  6. Step 6: Final answer
    x = 7,915.62

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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.