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Finding the Fourth Proportional to 7,607.09, 11,394.03 and 4,676.51

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Solution

The fourth proportional to 7,607.09, 11,394.03 and 4,676.51 is: 7,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.09 : 11,394.03 = 4,676.51 : x
  2. Step 2: Convert to fraction form
    7,607.09/11,394.03 = 4,676.51/x
  3. Step 3: Cross multiply
    7,607.09x = 11,394.03 × 4,676.51
  4. Step 4: Simplify right side
    7,607.09x = 53,284,295.24
  5. Step 5: Solve for x
    x = 53,284,295.24/7,607.09
  6. Step 6: Final answer
    x = 7,004.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.