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Finding the Fourth Proportional to 10,600.41, 15,867.81 and 9,025.77

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Solution

The fourth proportional to 10,600.41, 15,867.81 and 9,025.77 is: 13,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.41 : 15,867.81 = 9,025.77 : x
  2. Step 2: Convert to fraction form
    10,600.41/15,867.81 = 9,025.77/x
  3. Step 3: Cross multiply
    10,600.41x = 15,867.81 × 9,025.77
  4. Step 4: Simplify right side
    10,600.41x = 143,219,203.46
  5. Step 5: Solve for x
    x = 143,219,203.46/10,600.41
  6. Step 6: Final answer
    x = 13,510.72

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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.