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Finding the Fourth Proportional to 7,735.36, 10,674.25 and 4,378.09

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Solution

The fourth proportional to 7,735.36, 10,674.25 and 4,378.09 is: 6,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.36 : 10,674.25 = 4,378.09 : x
  2. Step 2: Convert to fraction form
    7,735.36/10,674.25 = 4,378.09/x
  3. Step 3: Cross multiply
    7,735.36x = 10,674.25 × 4,378.09
  4. Step 4: Simplify right side
    7,735.36x = 46,732,827.18
  5. Step 5: Solve for x
    x = 46,732,827.18/7,735.36
  6. Step 6: Final answer
    x = 6,041.45

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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.