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Finding the Fourth Proportional to 10,940.99, 15,089.54 and 6,955.16

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Solution

The fourth proportional to 10,940.99, 15,089.54 and 6,955.16 is: 9,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.99 : 15,089.54 = 6,955.16 : x
  2. Step 2: Convert to fraction form
    10,940.99/15,089.54 = 6,955.16/x
  3. Step 3: Cross multiply
    10,940.99x = 15,089.54 × 6,955.16
  4. Step 4: Simplify right side
    10,940.99x = 104,950,054.80
  5. Step 5: Solve for x
    x = 104,950,054.80/10,940.99
  6. Step 6: Final answer
    x = 9,592.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.