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Finding the Fourth Proportional to 7,725.79, 11,592.19 and 3,284.66

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Solution

The fourth proportional to 7,725.79, 11,592.19 and 3,284.66 is: 4,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.79 : 11,592.19 = 3,284.66 : x
  2. Step 2: Convert to fraction form
    7,725.79/11,592.19 = 3,284.66/x
  3. Step 3: Cross multiply
    7,725.79x = 11,592.19 × 3,284.66
  4. Step 4: Simplify right side
    7,725.79x = 38,076,386.38
  5. Step 5: Solve for x
    x = 38,076,386.38/7,725.79
  6. Step 6: Final answer
    x = 4,928.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.