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Finding the Fourth Proportional to 7,347.77, 11,018.01 and 3,837.23

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Solution

The fourth proportional to 7,347.77, 11,018.01 and 3,837.23 is: 5,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.77 : 11,018.01 = 3,837.23 : x
  2. Step 2: Convert to fraction form
    7,347.77/11,018.01 = 3,837.23/x
  3. Step 3: Cross multiply
    7,347.77x = 11,018.01 × 3,837.23
  4. Step 4: Simplify right side
    7,347.77x = 42,278,638.51
  5. Step 5: Solve for x
    x = 42,278,638.51/7,347.77
  6. Step 6: Final answer
    x = 5,753.94

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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.