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Finding the Fourth Proportional to 10,093.32, 15,135.93 and 4,171.12

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Solution

The fourth proportional to 10,093.32, 15,135.93 and 4,171.12 is: 6,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.32 : 15,135.93 = 4,171.12 : x
  2. Step 2: Convert to fraction form
    10,093.32/15,135.93 = 4,171.12/x
  3. Step 3: Cross multiply
    10,093.32x = 15,135.93 × 4,171.12
  4. Step 4: Simplify right side
    10,093.32x = 63,133,742.50
  5. Step 5: Solve for x
    x = 63,133,742.50/10,093.32
  6. Step 6: Final answer
    x = 6,255.00

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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.