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Finding the Fourth Proportional to 7,955.09, 10,970.69 and 5,117.46

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Solution

The fourth proportional to 7,955.09, 10,970.69 and 5,117.46 is: 7,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.09 : 10,970.69 = 5,117.46 : x
  2. Step 2: Convert to fraction form
    7,955.09/10,970.69 = 5,117.46/x
  3. Step 3: Cross multiply
    7,955.09x = 10,970.69 × 5,117.46
  4. Step 4: Simplify right side
    7,955.09x = 56,142,067.25
  5. Step 5: Solve for x
    x = 56,142,067.25/7,955.09
  6. Step 6: Final answer
    x = 7,057.38

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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.