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Finding the Fourth Proportional to 7,973.51, 11,004.46 and 4,616.46

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Solution

The fourth proportional to 7,973.51, 11,004.46 and 4,616.46 is: 6,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.51 : 11,004.46 = 4,616.46 : x
  2. Step 2: Convert to fraction form
    7,973.51/11,004.46 = 4,616.46/x
  3. Step 3: Cross multiply
    7,973.51x = 11,004.46 × 4,616.46
  4. Step 4: Simplify right side
    7,973.51x = 50,801,637.87
  5. Step 5: Solve for x
    x = 50,801,637.87/7,973.51
  6. Step 6: Final answer
    x = 6,371.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.