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Finding the Fourth Proportional to 7,604.05, 11,407.16 and 2,339.50

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Solution

The fourth proportional to 7,604.05, 11,407.16 and 2,339.50 is: 3,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.05 : 11,407.16 = 2,339.50 : x
  2. Step 2: Convert to fraction form
    7,604.05/11,407.16 = 2,339.50/x
  3. Step 3: Cross multiply
    7,604.05x = 11,407.16 × 2,339.50
  4. Step 4: Simplify right side
    7,604.05x = 26,687,050.82
  5. Step 5: Solve for x
    x = 26,687,050.82/7,604.05
  6. Step 6: Final answer
    x = 3,509.58

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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.