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Finding the Fourth Proportional to 7,281, 10,047.78 and 4,137.39

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Solution

The fourth proportional to 7,281, 10,047.78 and 4,137.39 is: 5,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281 : 10,047.78 = 4,137.39 : x
  2. Step 2: Convert to fraction form
    7,281/10,047.78 = 4,137.39/x
  3. Step 3: Cross multiply
    7,281x = 10,047.78 × 4,137.39
  4. Step 4: Simplify right side
    7,281x = 41,571,584.49
  5. Step 5: Solve for x
    x = 41,571,584.49/7,281
  6. Step 6: Final answer
    x = 5,709.60

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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.