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Finding the Fourth Proportional to 11,477.34, 15,836.85 and 6,760.98

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Solution

The fourth proportional to 11,477.34, 15,836.85 and 6,760.98 is: 9,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.34 : 15,836.85 = 6,760.98 : x
  2. Step 2: Convert to fraction form
    11,477.34/15,836.85 = 6,760.98/x
  3. Step 3: Cross multiply
    11,477.34x = 15,836.85 × 6,760.98
  4. Step 4: Simplify right side
    11,477.34x = 107,072,626.11
  5. Step 5: Solve for x
    x = 107,072,626.11/11,477.34
  6. Step 6: Final answer
    x = 9,329.05

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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.