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Finding the Fourth Proportional to 7,292.60, 10,941.60 and 2,362.40

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Solution

The fourth proportional to 7,292.60, 10,941.60 and 2,362.40 is: 3,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.60 : 10,941.60 = 2,362.40 : x
  2. Step 2: Convert to fraction form
    7,292.60/10,941.60 = 2,362.40/x
  3. Step 3: Cross multiply
    7,292.60x = 10,941.60 × 2,362.40
  4. Step 4: Simplify right side
    7,292.60x = 25,848,435.84
  5. Step 5: Solve for x
    x = 25,848,435.84/7,292.60
  6. Step 6: Final answer
    x = 3,544.47

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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.