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Finding the Fourth Proportional to 10,441.94, 15,663.63 and 4,202.00

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Solution

The fourth proportional to 10,441.94, 15,663.63 and 4,202.00 is: 6,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.94 : 15,663.63 = 4,202.00 : x
  2. Step 2: Convert to fraction form
    10,441.94/15,663.63 = 4,202.00/x
  3. Step 3: Cross multiply
    10,441.94x = 15,663.63 × 4,202.00
  4. Step 4: Simplify right side
    10,441.94x = 65,818,589.86
  5. Step 5: Solve for x
    x = 65,818,589.86/10,441.94
  6. Step 6: Final answer
    x = 6,303.29

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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.