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Finding the Fourth Proportional to 8,206.03, 11,339.13 and 5,844.07

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Solution

The fourth proportional to 8,206.03, 11,339.13 and 5,844.07 is: 8,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.03 : 11,339.13 = 5,844.07 : x
  2. Step 2: Convert to fraction form
    8,206.03/11,339.13 = 5,844.07/x
  3. Step 3: Cross multiply
    8,206.03x = 11,339.13 × 5,844.07
  4. Step 4: Simplify right side
    8,206.03x = 66,266,669.46
  5. Step 5: Solve for x
    x = 66,266,669.46/8,206.03
  6. Step 6: Final answer
    x = 8,075.36

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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.