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Finding the Fourth Proportional to 10,756.96, 16,134.82 and 4,832.32

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Solution

The fourth proportional to 10,756.96, 16,134.82 and 4,832.32 is: 7,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.96 : 16,134.82 = 4,832.32 : x
  2. Step 2: Convert to fraction form
    10,756.96/16,134.82 = 4,832.32/x
  3. Step 3: Cross multiply
    10,756.96x = 16,134.82 × 4,832.32
  4. Step 4: Simplify right side
    10,756.96x = 77,968,627.50
  5. Step 5: Solve for x
    x = 77,968,627.50/10,756.96
  6. Step 6: Final answer
    x = 7,248.20

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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.