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Finding the Fourth Proportional to 11,597.46, 17,396.19 and 8,150.10

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Solution

The fourth proportional to 11,597.46, 17,396.19 and 8,150.10 is: 12,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.46 : 17,396.19 = 8,150.10 : x
  2. Step 2: Convert to fraction form
    11,597.46/17,396.19 = 8,150.10/x
  3. Step 3: Cross multiply
    11,597.46x = 17,396.19 × 8,150.10
  4. Step 4: Simplify right side
    11,597.46x = 141,780,688.12
  5. Step 5: Solve for x
    x = 141,780,688.12/11,597.46
  6. Step 6: Final answer
    x = 12,225.15

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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.