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Finding the Fourth Proportional to 11,376.96, 15,667.56 and 9,770.76

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Solution

The fourth proportional to 11,376.96, 15,667.56 and 9,770.76 is: 13,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.96 : 15,667.56 = 9,770.76 : x
  2. Step 2: Convert to fraction form
    11,376.96/15,667.56 = 9,770.76/x
  3. Step 3: Cross multiply
    11,376.96x = 15,667.56 × 9,770.76
  4. Step 4: Simplify right side
    11,376.96x = 153,083,968.55
  5. Step 5: Solve for x
    x = 153,083,968.55/11,376.96
  6. Step 6: Final answer
    x = 13,455.61

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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.