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Finding the Fourth Proportional to 8,782.66, 12,116.67 and 5,419.63

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Solution

The fourth proportional to 8,782.66, 12,116.67 and 5,419.63 is: 7,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.66 : 12,116.67 = 5,419.63 : x
  2. Step 2: Convert to fraction form
    8,782.66/12,116.67 = 5,419.63/x
  3. Step 3: Cross multiply
    8,782.66x = 12,116.67 × 5,419.63
  4. Step 4: Simplify right side
    8,782.66x = 65,667,807.65
  5. Step 5: Solve for x
    x = 65,667,807.65/8,782.66
  6. Step 6: Final answer
    x = 7,476.99

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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.