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Finding the Fourth Proportional to 10,671.52, 14,745.36 and 7,682.08

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Solution

The fourth proportional to 10,671.52, 14,745.36 and 7,682.08 is: 10,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.52 : 14,745.36 = 7,682.08 : x
  2. Step 2: Convert to fraction form
    10,671.52/14,745.36 = 7,682.08/x
  3. Step 3: Cross multiply
    10,671.52x = 14,745.36 × 7,682.08
  4. Step 4: Simplify right side
    10,671.52x = 113,275,035.15
  5. Step 5: Solve for x
    x = 113,275,035.15/10,671.52
  6. Step 6: Final answer
    x = 10,614.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.