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Finding the Fourth Proportional to 12,868.44, 17,758.41 and 7,566.30

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Solution

The fourth proportional to 12,868.44, 17,758.41 and 7,566.30 is: 10,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.44 : 17,758.41 = 7,566.30 : x
  2. Step 2: Convert to fraction form
    12,868.44/17,758.41 = 7,566.30/x
  3. Step 3: Cross multiply
    12,868.44x = 17,758.41 × 7,566.30
  4. Step 4: Simplify right side
    12,868.44x = 134,365,457.58
  5. Step 5: Solve for x
    x = 134,365,457.58/12,868.44
  6. Step 6: Final answer
    x = 10,441.47

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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.