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Finding the Fourth Proportional to 10,696.40, 16,045.40 and 2,905.04

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Solution

The fourth proportional to 10,696.40, 16,045.40 and 2,905.04 is: 4,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.40 : 16,045.40 = 2,905.04 : x
  2. Step 2: Convert to fraction form
    10,696.40/16,045.40 = 2,905.04/x
  3. Step 3: Cross multiply
    10,696.40x = 16,045.40 × 2,905.04
  4. Step 4: Simplify right side
    10,696.40x = 46,612,528.82
  5. Step 5: Solve for x
    x = 46,612,528.82/10,696.40
  6. Step 6: Final answer
    x = 4,357.78

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Why These Related Problems?

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