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Finding the Fourth Proportional to 12,886.02, 17,782.20 and 7,297.02

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Solution

The fourth proportional to 12,886.02, 17,782.20 and 7,297.02 is: 10,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.02 : 17,782.20 = 7,297.02 : x
  2. Step 2: Convert to fraction form
    12,886.02/17,782.20 = 7,297.02/x
  3. Step 3: Cross multiply
    12,886.02x = 17,782.20 × 7,297.02
  4. Step 4: Simplify right side
    12,886.02x = 129,757,069.04
  5. Step 5: Solve for x
    x = 129,757,069.04/12,886.02
  6. Step 6: Final answer
    x = 10,069.60

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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.