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Finding the Fourth Proportional to 7,400.34, 11,099.70 and 2,205

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Solution

The fourth proportional to 7,400.34, 11,099.70 and 2,205 is: 3,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.34 : 11,099.70 = 2,205 : x
  2. Step 2: Convert to fraction form
    7,400.34/11,099.70 = 2,205/x
  3. Step 3: Cross multiply
    7,400.34x = 11,099.70 × 2,205
  4. Step 4: Simplify right side
    7,400.34x = 24,474,838.50
  5. Step 5: Solve for x
    x = 24,474,838.50/7,400.34
  6. Step 6: Final answer
    x = 3,307.26

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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.