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Finding the Fourth Proportional to 11,191.45, 15,445.02 and 7,408.03

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Solution

The fourth proportional to 11,191.45, 15,445.02 and 7,408.03 is: 10,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.45 : 15,445.02 = 7,408.03 : x
  2. Step 2: Convert to fraction form
    11,191.45/15,445.02 = 7,408.03/x
  3. Step 3: Cross multiply
    11,191.45x = 15,445.02 × 7,408.03
  4. Step 4: Simplify right side
    11,191.45x = 114,417,171.51
  5. Step 5: Solve for x
    x = 114,417,171.51/11,191.45
  6. Step 6: Final answer
    x = 10,223.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.