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Finding the Fourth Proportional to 10,326.78, 15,474.41 and 7,681.49

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Solution

The fourth proportional to 10,326.78, 15,474.41 and 7,681.49 is: 11,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.78 : 15,474.41 = 7,681.49 : x
  2. Step 2: Convert to fraction form
    10,326.78/15,474.41 = 7,681.49/x
  3. Step 3: Cross multiply
    10,326.78x = 15,474.41 × 7,681.49
  4. Step 4: Simplify right side
    10,326.78x = 118,866,525.95
  5. Step 5: Solve for x
    x = 118,866,525.95/10,326.78
  6. Step 6: Final answer
    x = 11,510.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.