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Finding the Fourth Proportional to 10,815.30, 16,201.91 and 7,106.36

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Solution

The fourth proportional to 10,815.30, 16,201.91 and 7,106.36 is: 10,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.30 : 16,201.91 = 7,106.36 : x
  2. Step 2: Convert to fraction form
    10,815.30/16,201.91 = 7,106.36/x
  3. Step 3: Cross multiply
    10,815.30x = 16,201.91 × 7,106.36
  4. Step 4: Simplify right side
    10,815.30x = 115,136,541.90
  5. Step 5: Solve for x
    x = 115,136,541.90/10,815.30
  6. Step 6: Final answer
    x = 10,645.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.