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Finding the Fourth Proportional to 7,090.56, 9,783.70 and 4,106.24

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Solution

The fourth proportional to 7,090.56, 9,783.70 and 4,106.24 is: 5,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.56 : 9,783.70 = 4,106.24 : x
  2. Step 2: Convert to fraction form
    7,090.56/9,783.70 = 4,106.24/x
  3. Step 3: Cross multiply
    7,090.56x = 9,783.70 × 4,106.24
  4. Step 4: Simplify right side
    7,090.56x = 40,174,220.29
  5. Step 5: Solve for x
    x = 40,174,220.29/7,090.56
  6. Step 6: Final answer
    x = 5,665.87

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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.