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Finding the Fourth Proportional to 11,853.61, 16,363.22 and 7,075.22

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Solution

The fourth proportional to 11,853.61, 16,363.22 and 7,075.22 is: 9,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.61 : 16,363.22 = 7,075.22 : x
  2. Step 2: Convert to fraction form
    11,853.61/16,363.22 = 7,075.22/x
  3. Step 3: Cross multiply
    11,853.61x = 16,363.22 × 7,075.22
  4. Step 4: Simplify right side
    11,853.61x = 115,773,264.22
  5. Step 5: Solve for x
    x = 115,773,264.22/11,853.61
  6. Step 6: Final answer
    x = 9,766.92

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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.