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Finding the Fourth Proportional to 11,442.46, 15,790.98 and 6,406.89

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Solution

The fourth proportional to 11,442.46, 15,790.98 and 6,406.89 is: 8,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.46 : 15,790.98 = 6,406.89 : x
  2. Step 2: Convert to fraction form
    11,442.46/15,790.98 = 6,406.89/x
  3. Step 3: Cross multiply
    11,442.46x = 15,790.98 × 6,406.89
  4. Step 4: Simplify right side
    11,442.46x = 101,171,071.85
  5. Step 5: Solve for x
    x = 101,171,071.85/11,442.46
  6. Step 6: Final answer
    x = 8,841.72

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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.