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Finding the Fourth Proportional to 8,830.68, 12,191.69 and 5,849.07

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Solution

The fourth proportional to 8,830.68, 12,191.69 and 5,849.07 is: 8,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.68 : 12,191.69 = 5,849.07 : x
  2. Step 2: Convert to fraction form
    8,830.68/12,191.69 = 5,849.07/x
  3. Step 3: Cross multiply
    8,830.68x = 12,191.69 × 5,849.07
  4. Step 4: Simplify right side
    8,830.68x = 71,310,048.23
  5. Step 5: Solve for x
    x = 71,310,048.23/8,830.68
  6. Step 6: Final answer
    x = 8,075.26

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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.