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Finding the Fourth Proportional to 10,703.26, 16,034.11 and 7,886.98

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Solution

The fourth proportional to 10,703.26, 16,034.11 and 7,886.98 is: 11,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.26 : 16,034.11 = 7,886.98 : x
  2. Step 2: Convert to fraction form
    10,703.26/16,034.11 = 7,886.98/x
  3. Step 3: Cross multiply
    10,703.26x = 16,034.11 × 7,886.98
  4. Step 4: Simplify right side
    10,703.26x = 126,460,783.22
  5. Step 5: Solve for x
    x = 126,460,783.22/10,703.26
  6. Step 6: Final answer
    x = 11,815.17

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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.