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Finding the Fourth Proportional to 10,859.56, 16,264.02 and 7,930.60

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Solution

The fourth proportional to 10,859.56, 16,264.02 and 7,930.60 is: 11,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.56 : 16,264.02 = 7,930.60 : x
  2. Step 2: Convert to fraction form
    10,859.56/16,264.02 = 7,930.60/x
  3. Step 3: Cross multiply
    10,859.56x = 16,264.02 × 7,930.60
  4. Step 4: Simplify right side
    10,859.56x = 128,983,437.01
  5. Step 5: Solve for x
    x = 128,983,437.01/10,859.56
  6. Step 6: Final answer
    x = 11,877.41

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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.