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Finding the Fourth Proportional to 7,810.44, 11,717.01 and 3,428.34

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Solution

The fourth proportional to 7,810.44, 11,717.01 and 3,428.34 is: 5,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.44 : 11,717.01 = 3,428.34 : x
  2. Step 2: Convert to fraction form
    7,810.44/11,717.01 = 3,428.34/x
  3. Step 3: Cross multiply
    7,810.44x = 11,717.01 × 3,428.34
  4. Step 4: Simplify right side
    7,810.44x = 40,169,894.06
  5. Step 5: Solve for x
    x = 40,169,894.06/7,810.44
  6. Step 6: Final answer
    x = 5,143.10

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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.