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Finding the Fourth Proportional to 10,745.68, 16,118.45 and 7,570.05

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Solution

The fourth proportional to 10,745.68, 16,118.45 and 7,570.05 is: 11,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.68 : 16,118.45 = 7,570.05 : x
  2. Step 2: Convert to fraction form
    10,745.68/16,118.45 = 7,570.05/x
  3. Step 3: Cross multiply
    10,745.68x = 16,118.45 × 7,570.05
  4. Step 4: Simplify right side
    10,745.68x = 122,017,434.57
  5. Step 5: Solve for x
    x = 122,017,434.57/10,745.68
  6. Step 6: Final answer
    x = 11,355.02

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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.