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Finding the Fourth Proportional to 8,226.63, 11,352.78 and 7,598.75

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Solution

The fourth proportional to 8,226.63, 11,352.78 and 7,598.75 is: 10,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.63 : 11,352.78 = 7,598.75 : x
  2. Step 2: Convert to fraction form
    8,226.63/11,352.78 = 7,598.75/x
  3. Step 3: Cross multiply
    8,226.63x = 11,352.78 × 7,598.75
  4. Step 4: Simplify right side
    8,226.63x = 86,266,880.26
  5. Step 5: Solve for x
    x = 86,266,880.26/8,226.63
  6. Step 6: Final answer
    x = 10,486.30

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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.