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Finding the Fourth Proportional to 10,754.61, 16,125.76 and 6,375.14

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Solution

The fourth proportional to 10,754.61, 16,125.76 and 6,375.14 is: 9,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.61 : 16,125.76 = 6,375.14 : x
  2. Step 2: Convert to fraction form
    10,754.61/16,125.76 = 6,375.14/x
  3. Step 3: Cross multiply
    10,754.61x = 16,125.76 × 6,375.14
  4. Step 4: Simplify right side
    10,754.61x = 102,803,977.61
  5. Step 5: Solve for x
    x = 102,803,977.61/10,754.61
  6. Step 6: Final answer
    x = 9,559.06

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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.