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Finding the Fourth Proportional to 10,495.32, 15,694.37 and 8,128.50

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Solution

The fourth proportional to 10,495.32, 15,694.37 and 8,128.50 is: 12,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.32 : 15,694.37 = 8,128.50 : x
  2. Step 2: Convert to fraction form
    10,495.32/15,694.37 = 8,128.50/x
  3. Step 3: Cross multiply
    10,495.32x = 15,694.37 × 8,128.50
  4. Step 4: Simplify right side
    10,495.32x = 127,571,686.55
  5. Step 5: Solve for x
    x = 127,571,686.55/10,495.32
  6. Step 6: Final answer
    x = 12,155.10

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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.