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Finding the Fourth Proportional to 6,214.05, 8,564.49 and 5,526.99

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Solution

The fourth proportional to 6,214.05, 8,564.49 and 5,526.99 is: 7,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.05 : 8,564.49 = 5,526.99 : x
  2. Step 2: Convert to fraction form
    6,214.05/8,564.49 = 5,526.99/x
  3. Step 3: Cross multiply
    6,214.05x = 8,564.49 × 5,526.99
  4. Step 4: Simplify right side
    6,214.05x = 47,335,850.59
  5. Step 5: Solve for x
    x = 47,335,850.59/6,214.05
  6. Step 6: Final answer
    x = 7,617.55

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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.