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Finding the Fourth Proportional to 8,195.40, 11,294.64 and 5,953.35

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Solution

The fourth proportional to 8,195.40, 11,294.64 and 5,953.35 is: 8,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.40 : 11,294.64 = 5,953.35 : x
  2. Step 2: Convert to fraction form
    8,195.40/11,294.64 = 5,953.35/x
  3. Step 3: Cross multiply
    8,195.40x = 11,294.64 × 5,953.35
  4. Step 4: Simplify right side
    8,195.40x = 67,240,945.04
  5. Step 5: Solve for x
    x = 67,240,945.04/8,195.40
  6. Step 6: Final answer
    x = 8,204.72

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