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Finding the Fourth Proportional to 11,511.34, 15,885.51 and 6,795.58

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Solution

The fourth proportional to 11,511.34, 15,885.51 and 6,795.58 is: 9,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.34 : 15,885.51 = 6,795.58 : x
  2. Step 2: Convert to fraction form
    11,511.34/15,885.51 = 6,795.58/x
  3. Step 3: Cross multiply
    11,511.34x = 15,885.51 × 6,795.58
  4. Step 4: Simplify right side
    11,511.34x = 107,951,254.05
  5. Step 5: Solve for x
    x = 107,951,254.05/11,511.34
  6. Step 6: Final answer
    x = 9,377.82

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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.