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Finding the Fourth Proportional to 7,914.56, 11,788.09 and 7,498.16

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Solution

The fourth proportional to 7,914.56, 11,788.09 and 7,498.16 is: 11,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.56 : 11,788.09 = 7,498.16 : x
  2. Step 2: Convert to fraction form
    7,914.56/11,788.09 = 7,498.16/x
  3. Step 3: Cross multiply
    7,914.56x = 11,788.09 × 7,498.16
  4. Step 4: Simplify right side
    7,914.56x = 88,388,984.91
  5. Step 5: Solve for x
    x = 88,388,984.91/7,914.56
  6. Step 6: Final answer
    x = 11,167.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.