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Finding the Fourth Proportional to 8,190.42, 11,303.09 and 4,653.78

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Solution

The fourth proportional to 8,190.42, 11,303.09 and 4,653.78 is: 6,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.42 : 11,303.09 = 4,653.78 : x
  2. Step 2: Convert to fraction form
    8,190.42/11,303.09 = 4,653.78/x
  3. Step 3: Cross multiply
    8,190.42x = 11,303.09 × 4,653.78
  4. Step 4: Simplify right side
    8,190.42x = 52,602,094.18
  5. Step 5: Solve for x
    x = 52,602,094.18/8,190.42
  6. Step 6: Final answer
    x = 6,422.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.