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Finding the Fourth Proportional to 7,798.36, 11,702.28 and 4,103.23

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Solution

The fourth proportional to 7,798.36, 11,702.28 and 4,103.23 is: 6,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.36 : 11,702.28 = 4,103.23 : x
  2. Step 2: Convert to fraction form
    7,798.36/11,702.28 = 4,103.23/x
  3. Step 3: Cross multiply
    7,798.36x = 11,702.28 × 4,103.23
  4. Step 4: Simplify right side
    7,798.36x = 48,017,146.36
  5. Step 5: Solve for x
    x = 48,017,146.36/7,798.36
  6. Step 6: Final answer
    x = 6,157.34

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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.