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Finding the Fourth Proportional to 7,090.00, 9,782.53 and 5,959.97

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Solution

The fourth proportional to 7,090.00, 9,782.53 and 5,959.97 is: 8,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.00 : 9,782.53 = 5,959.97 : x
  2. Step 2: Convert to fraction form
    7,090.00/9,782.53 = 5,959.97/x
  3. Step 3: Cross multiply
    7,090.00x = 9,782.53 × 5,959.97
  4. Step 4: Simplify right side
    7,090.00x = 58,303,506.61
  5. Step 5: Solve for x
    x = 58,303,506.61/7,090.00
  6. Step 6: Final answer
    x = 8,223.35

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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.