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Finding the Fourth Proportional to 7,696.80, 11,549.64 and 3,254.10

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Solution

The fourth proportional to 7,696.80, 11,549.64 and 3,254.10 is: 4,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.80 : 11,549.64 = 3,254.10 : x
  2. Step 2: Convert to fraction form
    7,696.80/11,549.64 = 3,254.10/x
  3. Step 3: Cross multiply
    7,696.80x = 11,549.64 × 3,254.10
  4. Step 4: Simplify right side
    7,696.80x = 37,583,683.52
  5. Step 5: Solve for x
    x = 37,583,683.52/7,696.80
  6. Step 6: Final answer
    x = 4,883.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.