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Finding the Fourth Proportional to 11,855.32, 16,362.07 and 7,075.47

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Solution

The fourth proportional to 11,855.32, 16,362.07 and 7,075.47 is: 9,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.32 : 16,362.07 = 7,075.47 : x
  2. Step 2: Convert to fraction form
    11,855.32/16,362.07 = 7,075.47/x
  3. Step 3: Cross multiply
    11,855.32x = 16,362.07 × 7,075.47
  4. Step 4: Simplify right side
    11,855.32x = 115,769,336.49
  5. Step 5: Solve for x
    x = 115,769,336.49/11,855.32
  6. Step 6: Final answer
    x = 9,765.18

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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.