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Finding the Fourth Proportional to 8,643.78, 11,926.26 and 5,806.13

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Solution

The fourth proportional to 8,643.78, 11,926.26 and 5,806.13 is: 8,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.78 : 11,926.26 = 5,806.13 : x
  2. Step 2: Convert to fraction form
    8,643.78/11,926.26 = 5,806.13/x
  3. Step 3: Cross multiply
    8,643.78x = 11,926.26 × 5,806.13
  4. Step 4: Simplify right side
    8,643.78x = 69,245,356.34
  5. Step 5: Solve for x
    x = 69,245,356.34/8,643.78
  6. Step 6: Final answer
    x = 8,011.00

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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.