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Finding the Fourth Proportional to 11,382.21, 15,706.31 and 6,345.96

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Solution

The fourth proportional to 11,382.21, 15,706.31 and 6,345.96 is: 8,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.21 : 15,706.31 = 6,345.96 : x
  2. Step 2: Convert to fraction form
    11,382.21/15,706.31 = 6,345.96/x
  3. Step 3: Cross multiply
    11,382.21x = 15,706.31 × 6,345.96
  4. Step 4: Simplify right side
    11,382.21x = 99,671,599.14
  5. Step 5: Solve for x
    x = 99,671,599.14/11,382.21
  6. Step 6: Final answer
    x = 8,756.79

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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.