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Finding the Fourth Proportional to 10,496.88, 15,743.04 and 3,100.08

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Solution

The fourth proportional to 10,496.88, 15,743.04 and 3,100.08 is: 4,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.88 : 15,743.04 = 3,100.08 : x
  2. Step 2: Convert to fraction form
    10,496.88/15,743.04 = 3,100.08/x
  3. Step 3: Cross multiply
    10,496.88x = 15,743.04 × 3,100.08
  4. Step 4: Simplify right side
    10,496.88x = 48,804,683.44
  5. Step 5: Solve for x
    x = 48,804,683.44/10,496.88
  6. Step 6: Final answer
    x = 4,649.45

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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.