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Finding the Fourth Proportional to 10,130.04, 15,195.60 and 3,204

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Solution

The fourth proportional to 10,130.04, 15,195.60 and 3,204 is: 4,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.04 : 15,195.60 = 3,204 : x
  2. Step 2: Convert to fraction form
    10,130.04/15,195.60 = 3,204/x
  3. Step 3: Cross multiply
    10,130.04x = 15,195.60 × 3,204
  4. Step 4: Simplify right side
    10,130.04x = 48,686,702.40
  5. Step 5: Solve for x
    x = 48,686,702.40/10,130.04
  6. Step 6: Final answer
    x = 4,806.17

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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.