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Finding the Fourth Proportional to 7,367.16, 11,050.74 and 4,287

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Solution

The fourth proportional to 7,367.16, 11,050.74 and 4,287 is: 6,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.16 : 11,050.74 = 4,287 : x
  2. Step 2: Convert to fraction form
    7,367.16/11,050.74 = 4,287/x
  3. Step 3: Cross multiply
    7,367.16x = 11,050.74 × 4,287
  4. Step 4: Simplify right side
    7,367.16x = 47,374,522.38
  5. Step 5: Solve for x
    x = 47,374,522.38/7,367.16
  6. Step 6: Final answer
    x = 6,430.50

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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.