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Finding the Fourth Proportional to 10,042, 15,063.36 and 3,116.32

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Solution

The fourth proportional to 10,042, 15,063.36 and 3,116.32 is: 4,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042 : 15,063.36 = 3,116.32 : x
  2. Step 2: Convert to fraction form
    10,042/15,063.36 = 3,116.32/x
  3. Step 3: Cross multiply
    10,042x = 15,063.36 × 3,116.32
  4. Step 4: Simplify right side
    10,042x = 46,942,250.04
  5. Step 5: Solve for x
    x = 46,942,250.04/10,042
  6. Step 6: Final answer
    x = 4,674.59

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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.