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Finding the Fourth Proportional to 7,973.01, 11,959.38 and 2,778.75

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Solution

The fourth proportional to 7,973.01, 11,959.38 and 2,778.75 is: 4,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.01 : 11,959.38 = 2,778.75 : x
  2. Step 2: Convert to fraction form
    7,973.01/11,959.38 = 2,778.75/x
  3. Step 3: Cross multiply
    7,973.01x = 11,959.38 × 2,778.75
  4. Step 4: Simplify right side
    7,973.01x = 33,232,127.18
  5. Step 5: Solve for x
    x = 33,232,127.18/7,973.01
  6. Step 6: Final answer
    x = 4,168.08

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