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Finding the Fourth Proportional to 12,282.13, 16,952.07 and 7,805.00

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Solution

The fourth proportional to 12,282.13, 16,952.07 and 7,805.00 is: 10,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.13 : 16,952.07 = 7,805.00 : x
  2. Step 2: Convert to fraction form
    12,282.13/16,952.07 = 7,805.00/x
  3. Step 3: Cross multiply
    12,282.13x = 16,952.07 × 7,805.00
  4. Step 4: Simplify right side
    12,282.13x = 132,310,929.22
  5. Step 5: Solve for x
    x = 132,310,929.22/12,282.13
  6. Step 6: Final answer
    x = 10,772.64

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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.