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Finding the Fourth Proportional to 8,104.29, 12,071.21 and 7,725.09

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Solution

The fourth proportional to 8,104.29, 12,071.21 and 7,725.09 is: 11,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.29 : 12,071.21 = 7,725.09 : x
  2. Step 2: Convert to fraction form
    8,104.29/12,071.21 = 7,725.09/x
  3. Step 3: Cross multiply
    8,104.29x = 12,071.21 × 7,725.09
  4. Step 4: Simplify right side
    8,104.29x = 93,251,226.51
  5. Step 5: Solve for x
    x = 93,251,226.51/8,104.29
  6. Step 6: Final answer
    x = 11,506.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.