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Finding the Fourth Proportional to 10,496.88, 15,738.03 and 4,871.43

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Solution

The fourth proportional to 10,496.88, 15,738.03 and 4,871.43 is: 7,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.88 : 15,738.03 = 4,871.43 : x
  2. Step 2: Convert to fraction form
    10,496.88/15,738.03 = 4,871.43/x
  3. Step 3: Cross multiply
    10,496.88x = 15,738.03 × 4,871.43
  4. Step 4: Simplify right side
    10,496.88x = 76,666,711.48
  5. Step 5: Solve for x
    x = 76,666,711.48/10,496.88
  6. Step 6: Final answer
    x = 7,303.76

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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.