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Finding the Fourth Proportional to 10,435.96, 15,643 and 4,884.63

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Solution

The fourth proportional to 10,435.96, 15,643 and 4,884.63 is: 7,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.96 : 15,643 = 4,884.63 : x
  2. Step 2: Convert to fraction form
    10,435.96/15,643 = 4,884.63/x
  3. Step 3: Cross multiply
    10,435.96x = 15,643 × 4,884.63
  4. Step 4: Simplify right side
    10,435.96x = 76,410,267.09
  5. Step 5: Solve for x
    x = 76,410,267.09/10,435.96
  6. Step 6: Final answer
    x = 7,321.82

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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.