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Finding the Fourth Proportional to 7,746.76, 11,619.98 and 5,249.12

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Solution

The fourth proportional to 7,746.76, 11,619.98 and 5,249.12 is: 7,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.76 : 11,619.98 = 5,249.12 : x
  2. Step 2: Convert to fraction form
    7,746.76/11,619.98 = 5,249.12/x
  3. Step 3: Cross multiply
    7,746.76x = 11,619.98 × 5,249.12
  4. Step 4: Simplify right side
    7,746.76x = 60,994,669.42
  5. Step 5: Solve for x
    x = 60,994,669.42/7,746.76
  6. Step 6: Final answer
    x = 7,873.57

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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.