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Finding the Fourth Proportional to 7,810.49, 11,704.10 and 6,146.30

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Solution

The fourth proportional to 7,810.49, 11,704.10 and 6,146.30 is: 9,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.49 : 11,704.10 = 6,146.30 : x
  2. Step 2: Convert to fraction form
    7,810.49/11,704.10 = 6,146.30/x
  3. Step 3: Cross multiply
    7,810.49x = 11,704.10 × 6,146.30
  4. Step 4: Simplify right side
    7,810.49x = 71,936,908.36
  5. Step 5: Solve for x
    x = 71,936,908.36/7,810.49
  6. Step 6: Final answer
    x = 9,210.29

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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.