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Finding the Fourth Proportional to 10,604.70, 15,908.10 and 4,029.12

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Solution

The fourth proportional to 10,604.70, 15,908.10 and 4,029.12 is: 6,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.70 : 15,908.10 = 4,029.12 : x
  2. Step 2: Convert to fraction form
    10,604.70/15,908.10 = 4,029.12/x
  3. Step 3: Cross multiply
    10,604.70x = 15,908.10 × 4,029.12
  4. Step 4: Simplify right side
    10,604.70x = 64,095,643.87
  5. Step 5: Solve for x
    x = 64,095,643.87/10,604.70
  6. Step 6: Final answer
    x = 6,044.08

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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.