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Finding the Fourth Proportional to 8,509.16, 12,764.19 and 2,666.22

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Solution

The fourth proportional to 8,509.16, 12,764.19 and 2,666.22 is: 3,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.16 : 12,764.19 = 2,666.22 : x
  2. Step 2: Convert to fraction form
    8,509.16/12,764.19 = 2,666.22/x
  3. Step 3: Cross multiply
    8,509.16x = 12,764.19 × 2,666.22
  4. Step 4: Simplify right side
    8,509.16x = 34,032,138.66
  5. Step 5: Solve for x
    x = 34,032,138.66/8,509.16
  6. Step 6: Final answer
    x = 3,999.47

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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.