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Finding the Fourth Proportional to 7,603.16, 11,401.38 and 3,443

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Solution

The fourth proportional to 7,603.16, 11,401.38 and 3,443 is: 5,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.16 : 11,401.38 = 3,443 : x
  2. Step 2: Convert to fraction form
    7,603.16/11,401.38 = 3,443/x
  3. Step 3: Cross multiply
    7,603.16x = 11,401.38 × 3,443
  4. Step 4: Simplify right side
    7,603.16x = 39,254,951.34
  5. Step 5: Solve for x
    x = 39,254,951.34/7,603.16
  6. Step 6: Final answer
    x = 5,162.98

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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.