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Finding the Fourth Proportional to 11,292.25, 15,583.85 and 6,815.92

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Solution

The fourth proportional to 11,292.25, 15,583.85 and 6,815.92 is: 9,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.25 : 15,583.85 = 6,815.92 : x
  2. Step 2: Convert to fraction form
    11,292.25/15,583.85 = 6,815.92/x
  3. Step 3: Cross multiply
    11,292.25x = 15,583.85 × 6,815.92
  4. Step 4: Simplify right side
    11,292.25x = 106,218,274.89
  5. Step 5: Solve for x
    x = 106,218,274.89/11,292.25
  6. Step 6: Final answer
    x = 9,406.30

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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.