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Finding the Fourth Proportional to 7,812.60, 11,717.06 and 2,264.48

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Solution

The fourth proportional to 7,812.60, 11,717.06 and 2,264.48 is: 3,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.60 : 11,717.06 = 2,264.48 : x
  2. Step 2: Convert to fraction form
    7,812.60/11,717.06 = 2,264.48/x
  3. Step 3: Cross multiply
    7,812.60x = 11,717.06 × 2,264.48
  4. Step 4: Simplify right side
    7,812.60x = 26,533,048.03
  5. Step 5: Solve for x
    x = 26,533,048.03/7,812.60
  6. Step 6: Final answer
    x = 3,396.19

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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.