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Finding the Fourth Proportional to 10,703.46, 16,056 and 2,912.34

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Solution

The fourth proportional to 10,703.46, 16,056 and 2,912.34 is: 4,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.46 : 16,056 = 2,912.34 : x
  2. Step 2: Convert to fraction form
    10,703.46/16,056 = 2,912.34/x
  3. Step 3: Cross multiply
    10,703.46x = 16,056 × 2,912.34
  4. Step 4: Simplify right side
    10,703.46x = 46,760,531.04
  5. Step 5: Solve for x
    x = 46,760,531.04/10,703.46
  6. Step 6: Final answer
    x = 4,368.73

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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.