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Finding the Fourth Proportional to 7,886.34, 11,827.08 and 2,691

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Solution

The fourth proportional to 7,886.34, 11,827.08 and 2,691 is: 4,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.34 : 11,827.08 = 2,691 : x
  2. Step 2: Convert to fraction form
    7,886.34/11,827.08 = 2,691/x
  3. Step 3: Cross multiply
    7,886.34x = 11,827.08 × 2,691
  4. Step 4: Simplify right side
    7,886.34x = 31,826,672.28
  5. Step 5: Solve for x
    x = 31,826,672.28/7,886.34
  6. Step 6: Final answer
    x = 4,035.67

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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.