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Finding the Fourth Proportional to 7,940.64, 10,955.55 and 5,288.46

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Solution

The fourth proportional to 7,940.64, 10,955.55 and 5,288.46 is: 7,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.64 : 10,955.55 = 5,288.46 : x
  2. Step 2: Convert to fraction form
    7,940.64/10,955.55 = 5,288.46/x
  3. Step 3: Cross multiply
    7,940.64x = 10,955.55 × 5,288.46
  4. Step 4: Simplify right side
    7,940.64x = 57,937,987.95
  5. Step 5: Solve for x
    x = 57,937,987.95/7,940.64
  6. Step 6: Final answer
    x = 7,296.39

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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.