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Finding the Fourth Proportional to 10,790.46, 14,882.31 and 7,063.74

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Solution

The fourth proportional to 10,790.46, 14,882.31 and 7,063.74 is: 9,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.46 : 14,882.31 = 7,063.74 : x
  2. Step 2: Convert to fraction form
    10,790.46/14,882.31 = 7,063.74/x
  3. Step 3: Cross multiply
    10,790.46x = 14,882.31 × 7,063.74
  4. Step 4: Simplify right side
    10,790.46x = 105,124,768.44
  5. Step 5: Solve for x
    x = 105,124,768.44/10,790.46
  6. Step 6: Final answer
    x = 9,742.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.