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Finding the Fourth Proportional to 6,969.62, 10,453.28 and 2,586.08

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Solution

The fourth proportional to 6,969.62, 10,453.28 and 2,586.08 is: 3,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.62 : 10,453.28 = 2,586.08 : x
  2. Step 2: Convert to fraction form
    6,969.62/10,453.28 = 2,586.08/x
  3. Step 3: Cross multiply
    6,969.62x = 10,453.28 × 2,586.08
  4. Step 4: Simplify right side
    6,969.62x = 27,032,953.15
  5. Step 5: Solve for x
    x = 27,032,953.15/6,969.62
  6. Step 6: Final answer
    x = 3,878.69

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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.