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Finding the Fourth Proportional to 10,726.83, 16,075.44 and 7,741.46

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Solution

The fourth proportional to 10,726.83, 16,075.44 and 7,741.46 is: 11,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.83 : 16,075.44 = 7,741.46 : x
  2. Step 2: Convert to fraction form
    10,726.83/16,075.44 = 7,741.46/x
  3. Step 3: Cross multiply
    10,726.83x = 16,075.44 × 7,741.46
  4. Step 4: Simplify right side
    10,726.83x = 124,447,415.93
  5. Step 5: Solve for x
    x = 124,447,415.93/10,726.83
  6. Step 6: Final answer
    x = 11,601.51

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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.