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Finding the Fourth Proportional to 7,728.15, 10,652.40 and 6,046.86

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Solution

The fourth proportional to 7,728.15, 10,652.40 and 6,046.86 is: 8,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.15 : 10,652.40 = 6,046.86 : x
  2. Step 2: Convert to fraction form
    7,728.15/10,652.40 = 6,046.86/x
  3. Step 3: Cross multiply
    7,728.15x = 10,652.40 × 6,046.86
  4. Step 4: Simplify right side
    7,728.15x = 64,413,571.46
  5. Step 5: Solve for x
    x = 64,413,571.46/7,728.15
  6. Step 6: Final answer
    x = 8,334.93

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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.