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Finding the Fourth Proportional to 7,876.89, 11,812.59 and 2,328.75

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Solution

The fourth proportional to 7,876.89, 11,812.59 and 2,328.75 is: 3,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.89 : 11,812.59 = 2,328.75 : x
  2. Step 2: Convert to fraction form
    7,876.89/11,812.59 = 2,328.75/x
  3. Step 3: Cross multiply
    7,876.89x = 11,812.59 × 2,328.75
  4. Step 4: Simplify right side
    7,876.89x = 27,508,568.96
  5. Step 5: Solve for x
    x = 27,508,568.96/7,876.89
  6. Step 6: Final answer
    x = 3,492.31

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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.