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Finding the Fourth Proportional to 7,604.12, 11,406.19 and 5,256.74

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Solution

The fourth proportional to 7,604.12, 11,406.19 and 5,256.74 is: 7,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.12 : 11,406.19 = 5,256.74 : x
  2. Step 2: Convert to fraction form
    7,604.12/11,406.19 = 5,256.74/x
  3. Step 3: Cross multiply
    7,604.12x = 11,406.19 × 5,256.74
  4. Step 4: Simplify right side
    7,604.12x = 59,959,375.22
  5. Step 5: Solve for x
    x = 59,959,375.22/7,604.12
  6. Step 6: Final answer
    x = 7,885.12

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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.