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Finding the Fourth Proportional to 7,905.37, 11,848.93 and 2,971.86

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Solution

The fourth proportional to 7,905.37, 11,848.93 and 2,971.86 is: 4,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.37 : 11,848.93 = 2,971.86 : x
  2. Step 2: Convert to fraction form
    7,905.37/11,848.93 = 2,971.86/x
  3. Step 3: Cross multiply
    7,905.37x = 11,848.93 × 2,971.86
  4. Step 4: Simplify right side
    7,905.37x = 35,213,346.25
  5. Step 5: Solve for x
    x = 35,213,346.25/7,905.37
  6. Step 6: Final answer
    x = 4,454.36

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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.