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Finding the Fourth Proportional to 8,321.86, 12,478.47 and 4,618.54

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Solution

The fourth proportional to 8,321.86, 12,478.47 and 4,618.54 is: 6,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.86 : 12,478.47 = 4,618.54 : x
  2. Step 2: Convert to fraction form
    8,321.86/12,478.47 = 4,618.54/x
  3. Step 3: Cross multiply
    8,321.86x = 12,478.47 × 4,618.54
  4. Step 4: Simplify right side
    8,321.86x = 57,632,312.83
  5. Step 5: Solve for x
    x = 57,632,312.83/8,321.86
  6. Step 6: Final answer
    x = 6,925.41

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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.