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Finding the Fourth Proportional to 7,664.96, 11,492.64 and 5,828

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Solution

The fourth proportional to 7,664.96, 11,492.64 and 5,828 is: 8,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.96 : 11,492.64 = 5,828 : x
  2. Step 2: Convert to fraction form
    7,664.96/11,492.64 = 5,828/x
  3. Step 3: Cross multiply
    7,664.96x = 11,492.64 × 5,828
  4. Step 4: Simplify right side
    7,664.96x = 66,979,105.92
  5. Step 5: Solve for x
    x = 66,979,105.92/7,664.96
  6. Step 6: Final answer
    x = 8,738.35

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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.