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Finding the Fourth Proportional to 7,292.60, 10,945.71 and 3,345.98

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Solution

The fourth proportional to 7,292.60, 10,945.71 and 3,345.98 is: 5,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.60 : 10,945.71 = 3,345.98 : x
  2. Step 2: Convert to fraction form
    7,292.60/10,945.71 = 3,345.98/x
  3. Step 3: Cross multiply
    7,292.60x = 10,945.71 × 3,345.98
  4. Step 4: Simplify right side
    7,292.60x = 36,624,072.02
  5. Step 5: Solve for x
    x = 36,624,072.02/7,292.60
  6. Step 6: Final answer
    x = 5,022.09

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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.