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Finding the Fourth Proportional to 7,693.95, 11,533.98 and 2,762.43

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Solution

The fourth proportional to 7,693.95, 11,533.98 and 2,762.43 is: 4,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.95 : 11,533.98 = 2,762.43 : x
  2. Step 2: Convert to fraction form
    7,693.95/11,533.98 = 2,762.43/x
  3. Step 3: Cross multiply
    7,693.95x = 11,533.98 × 2,762.43
  4. Step 4: Simplify right side
    7,693.95x = 31,861,812.37
  5. Step 5: Solve for x
    x = 31,861,812.37/7,693.95
  6. Step 6: Final answer
    x = 4,141.15

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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.