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Finding the Fourth Proportional to 7,822.83, 11,738.78 and 2,895.93

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Solution

The fourth proportional to 7,822.83, 11,738.78 and 2,895.93 is: 4,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.83 : 11,738.78 = 2,895.93 : x
  2. Step 2: Convert to fraction form
    7,822.83/11,738.78 = 2,895.93/x
  3. Step 3: Cross multiply
    7,822.83x = 11,738.78 × 2,895.93
  4. Step 4: Simplify right side
    7,822.83x = 33,994,670.69
  5. Step 5: Solve for x
    x = 33,994,670.69/7,822.83
  6. Step 6: Final answer
    x = 4,345.57

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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.