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Finding the Fourth Proportional to 8,709.40, 13,066.08 and 2,866.06

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Solution

The fourth proportional to 8,709.40, 13,066.08 and 2,866.06 is: 4,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.40 : 13,066.08 = 2,866.06 : x
  2. Step 2: Convert to fraction form
    8,709.40/13,066.08 = 2,866.06/x
  3. Step 3: Cross multiply
    8,709.40x = 13,066.08 × 2,866.06
  4. Step 4: Simplify right side
    8,709.40x = 37,448,169.24
  5. Step 5: Solve for x
    x = 37,448,169.24/8,709.40
  6. Step 6: Final answer
    x = 4,299.74

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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.