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Finding the Fourth Proportional to 7,090.66, 10,633.83 and 4,010.50

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Solution

The fourth proportional to 7,090.66, 10,633.83 and 4,010.50 is: 6,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.66 : 10,633.83 = 4,010.50 : x
  2. Step 2: Convert to fraction form
    7,090.66/10,633.83 = 4,010.50/x
  3. Step 3: Cross multiply
    7,090.66x = 10,633.83 × 4,010.50
  4. Step 4: Simplify right side
    7,090.66x = 42,646,975.22
  5. Step 5: Solve for x
    x = 42,646,975.22/7,090.66
  6. Step 6: Final answer
    x = 6,014.53

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Why These Related Problems?

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