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Finding the Fourth Proportional to 8,511, 11,745.54 and 4,785

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Solution

The fourth proportional to 8,511, 11,745.54 and 4,785 is: 6,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511 : 11,745.54 = 4,785 : x
  2. Step 2: Convert to fraction form
    8,511/11,745.54 = 4,785/x
  3. Step 3: Cross multiply
    8,511x = 11,745.54 × 4,785
  4. Step 4: Simplify right side
    8,511x = 56,202,408.90
  5. Step 5: Solve for x
    x = 56,202,408.90/8,511
  6. Step 6: Final answer
    x = 6,603.50

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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.