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Finding the Fourth Proportional to 7,290.37, 10,940.38 and 4,005.75

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Solution

The fourth proportional to 7,290.37, 10,940.38 and 4,005.75 is: 6,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.37 : 10,940.38 = 4,005.75 : x
  2. Step 2: Convert to fraction form
    7,290.37/10,940.38 = 4,005.75/x
  3. Step 3: Cross multiply
    7,290.37x = 10,940.38 × 4,005.75
  4. Step 4: Simplify right side
    7,290.37x = 43,824,417.17
  5. Step 5: Solve for x
    x = 43,824,417.17/7,290.37
  6. Step 6: Final answer
    x = 6,011.28

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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.