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Finding the Fourth Proportional to 7,673.68, 11,507.70 and 2,741.98

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Solution

The fourth proportional to 7,673.68, 11,507.70 and 2,741.98 is: 4,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.68 : 11,507.70 = 2,741.98 : x
  2. Step 2: Convert to fraction form
    7,673.68/11,507.70 = 2,741.98/x
  3. Step 3: Cross multiply
    7,673.68x = 11,507.70 × 2,741.98
  4. Step 4: Simplify right side
    7,673.68x = 31,553,883.25
  5. Step 5: Solve for x
    x = 31,553,883.25/7,673.68
  6. Step 6: Final answer
    x = 4,111.96

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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.