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Finding the Fourth Proportional to 7,883.36, 11,823.96 and 4,598

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Solution

The fourth proportional to 7,883.36, 11,823.96 and 4,598 is: 6,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.36 : 11,823.96 = 4,598 : x
  2. Step 2: Convert to fraction form
    7,883.36/11,823.96 = 4,598/x
  3. Step 3: Cross multiply
    7,883.36x = 11,823.96 × 4,598
  4. Step 4: Simplify right side
    7,883.36x = 54,366,568.08
  5. Step 5: Solve for x
    x = 54,366,568.08/7,883.36
  6. Step 6: Final answer
    x = 6,896.37

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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.