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Finding the Fourth Proportional to 7,789.07, 11,627.51 and 7,235.49

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Solution

The fourth proportional to 7,789.07, 11,627.51 and 7,235.49 is: 10,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.07 : 11,627.51 = 7,235.49 : x
  2. Step 2: Convert to fraction form
    7,789.07/11,627.51 = 7,235.49/x
  3. Step 3: Cross multiply
    7,789.07x = 11,627.51 × 7,235.49
  4. Step 4: Simplify right side
    7,789.07x = 84,130,739.76
  5. Step 5: Solve for x
    x = 84,130,739.76/7,789.07
  6. Step 6: Final answer
    x = 10,801.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.