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Finding the Fourth Proportional to 12,574.78, 18,862.26 and 3,810.34

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Solution

The fourth proportional to 12,574.78, 18,862.26 and 3,810.34 is: 5,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.78 : 18,862.26 = 3,810.34 : x
  2. Step 2: Convert to fraction form
    12,574.78/18,862.26 = 3,810.34/x
  3. Step 3: Cross multiply
    12,574.78x = 18,862.26 × 3,810.34
  4. Step 4: Simplify right side
    12,574.78x = 71,871,623.77
  5. Step 5: Solve for x
    x = 71,871,623.77/12,574.78
  6. Step 6: Final answer
    x = 5,715.54

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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.