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Finding the Fourth Proportional to 11,347.40, 17,015.22 and 5,102.07

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Solution

The fourth proportional to 11,347.40, 17,015.22 and 5,102.07 is: 7,650.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.40 : 17,015.22 = 5,102.07 : x
  2. Step 2: Convert to fraction form
    11,347.40/17,015.22 = 5,102.07/x
  3. Step 3: Cross multiply
    11,347.40x = 17,015.22 × 5,102.07
  4. Step 4: Simplify right side
    11,347.40x = 86,812,843.51
  5. Step 5: Solve for x
    x = 86,812,843.51/11,347.40
  6. Step 6: Final answer
    x = 7,650.46

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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.