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Finding the Fourth Proportional to 7,564.67, 11,325.09 and 6,318.08

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Solution

The fourth proportional to 7,564.67, 11,325.09 and 6,318.08 is: 9,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.67 : 11,325.09 = 6,318.08 : x
  2. Step 2: Convert to fraction form
    7,564.67/11,325.09 = 6,318.08/x
  3. Step 3: Cross multiply
    7,564.67x = 11,325.09 × 6,318.08
  4. Step 4: Simplify right side
    7,564.67x = 71,552,824.63
  5. Step 5: Solve for x
    x = 71,552,824.63/7,564.67
  6. Step 6: Final answer
    x = 9,458.82

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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.