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Finding the Fourth Proportional to 10,066.76, 15,106.08 and 3,832.02

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Solution

The fourth proportional to 10,066.76, 15,106.08 and 3,832.02 is: 5,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.76 : 15,106.08 = 3,832.02 : x
  2. Step 2: Convert to fraction form
    10,066.76/15,106.08 = 3,832.02/x
  3. Step 3: Cross multiply
    10,066.76x = 15,106.08 × 3,832.02
  4. Step 4: Simplify right side
    10,066.76x = 57,886,793.50
  5. Step 5: Solve for x
    x = 57,886,793.50/10,066.76
  6. Step 6: Final answer
    x = 5,750.29

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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.