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Finding the Fourth Proportional to 8,195.10, 12,301.56 and 7,605.42

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Solution

The fourth proportional to 8,195.10, 12,301.56 and 7,605.42 is: 11,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.10 : 12,301.56 = 7,605.42 : x
  2. Step 2: Convert to fraction form
    8,195.10/12,301.56 = 7,605.42/x
  3. Step 3: Cross multiply
    8,195.10x = 12,301.56 × 7,605.42
  4. Step 4: Simplify right side
    8,195.10x = 93,558,530.46
  5. Step 5: Solve for x
    x = 93,558,530.46/8,195.10
  6. Step 6: Final answer
    x = 11,416.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.