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Finding the Fourth Proportional to 10,604.40, 15,893.28 and 5,053.20

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Solution

The fourth proportional to 10,604.40, 15,893.28 and 5,053.20 is: 7,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.40 : 15,893.28 = 5,053.20 : x
  2. Step 2: Convert to fraction form
    10,604.40/15,893.28 = 5,053.20/x
  3. Step 3: Cross multiply
    10,604.40x = 15,893.28 × 5,053.20
  4. Step 4: Simplify right side
    10,604.40x = 80,311,922.50
  5. Step 5: Solve for x
    x = 80,311,922.50/10,604.40
  6. Step 6: Final answer
    x = 7,573.45

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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.