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Finding the Fourth Proportional to 7,745.82, 10,688.91 and 4,209

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Solution

The fourth proportional to 7,745.82, 10,688.91 and 4,209 is: 5,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.82 : 10,688.91 = 4,209 : x
  2. Step 2: Convert to fraction form
    7,745.82/10,688.91 = 4,209/x
  3. Step 3: Cross multiply
    7,745.82x = 10,688.91 × 4,209
  4. Step 4: Simplify right side
    7,745.82x = 44,989,622.19
  5. Step 5: Solve for x
    x = 44,989,622.19/7,745.82
  6. Step 6: Final answer
    x = 5,808.25

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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.