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Finding the Fourth Proportional to 8,329.40, 11,493.74 and 4,603.16

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Solution

The fourth proportional to 8,329.40, 11,493.74 and 4,603.16 is: 6,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.40 : 11,493.74 = 4,603.16 : x
  2. Step 2: Convert to fraction form
    8,329.40/11,493.74 = 4,603.16/x
  3. Step 3: Cross multiply
    8,329.40x = 11,493.74 × 4,603.16
  4. Step 4: Simplify right side
    8,329.40x = 52,907,524.22
  5. Step 5: Solve for x
    x = 52,907,524.22/8,329.40
  6. Step 6: Final answer
    x = 6,351.90

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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.