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Finding the Fourth Proportional to 7,731.15, 10,656.54 and 6,049.86

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Solution

The fourth proportional to 7,731.15, 10,656.54 and 6,049.86 is: 8,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.15 : 10,656.54 = 6,049.86 : x
  2. Step 2: Convert to fraction form
    7,731.15/10,656.54 = 6,049.86/x
  3. Step 3: Cross multiply
    7,731.15x = 10,656.54 × 6,049.86
  4. Step 4: Simplify right side
    7,731.15x = 64,470,575.08
  5. Step 5: Solve for x
    x = 64,470,575.08/7,731.15
  6. Step 6: Final answer
    x = 8,339.07

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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.