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Finding the Fourth Proportional to 7,565.92, 11,336.08 and 4,638.12

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Solution

The fourth proportional to 7,565.92, 11,336.08 and 4,638.12 is: 6,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.92 : 11,336.08 = 4,638.12 : x
  2. Step 2: Convert to fraction form
    7,565.92/11,336.08 = 4,638.12/x
  3. Step 3: Cross multiply
    7,565.92x = 11,336.08 × 4,638.12
  4. Step 4: Simplify right side
    7,565.92x = 52,578,099.37
  5. Step 5: Solve for x
    x = 52,578,099.37/7,565.92
  6. Step 6: Final answer
    x = 6,949.33

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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.