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Finding the Fourth Proportional to 11,197.95, 15,436.80 and 7,830.28

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Solution

The fourth proportional to 11,197.95, 15,436.80 and 7,830.28 is: 10,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.95 : 15,436.80 = 7,830.28 : x
  2. Step 2: Convert to fraction form
    11,197.95/15,436.80 = 7,830.28/x
  3. Step 3: Cross multiply
    11,197.95x = 15,436.80 × 7,830.28
  4. Step 4: Simplify right side
    11,197.95x = 120,874,466.30
  5. Step 5: Solve for x
    x = 120,874,466.30/11,197.95
  6. Step 6: Final answer
    x = 10,794.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.