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Finding the Fourth Proportional to 10,696.14, 16,042.38 and 2,903.13

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Solution

The fourth proportional to 10,696.14, 16,042.38 and 2,903.13 is: 4,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.14 : 16,042.38 = 2,903.13 : x
  2. Step 2: Convert to fraction form
    10,696.14/16,042.38 = 2,903.13/x
  3. Step 3: Cross multiply
    10,696.14x = 16,042.38 × 2,903.13
  4. Step 4: Simplify right side
    10,696.14x = 46,573,114.65
  5. Step 5: Solve for x
    x = 46,573,114.65/10,696.14
  6. Step 6: Final answer
    x = 4,354.20

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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.