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Finding the Fourth Proportional to 7,725.84, 10,661.67 and 4,189.05

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Solution

The fourth proportional to 7,725.84, 10,661.67 and 4,189.05 is: 5,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.84 : 10,661.67 = 4,189.05 : x
  2. Step 2: Convert to fraction form
    7,725.84/10,661.67 = 4,189.05/x
  3. Step 3: Cross multiply
    7,725.84x = 10,661.67 × 4,189.05
  4. Step 4: Simplify right side
    7,725.84x = 44,662,268.71
  5. Step 5: Solve for x
    x = 44,662,268.71/7,725.84
  6. Step 6: Final answer
    x = 5,780.89

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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.