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Finding the Fourth Proportional to 12,726.77, 19,096.51 and 5,711.80

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Solution

The fourth proportional to 12,726.77, 19,096.51 and 5,711.80 is: 8,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.77 : 19,096.51 = 5,711.80 : x
  2. Step 2: Convert to fraction form
    12,726.77/19,096.51 = 5,711.80/x
  3. Step 3: Cross multiply
    12,726.77x = 19,096.51 × 5,711.80
  4. Step 4: Simplify right side
    12,726.77x = 109,075,430.31
  5. Step 5: Solve for x
    x = 109,075,430.31/12,726.77
  6. Step 6: Final answer
    x = 8,570.55

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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.