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Finding the Fourth Proportional to 7,902.32, 11,853.12 and 2,971.58

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Solution

The fourth proportional to 7,902.32, 11,853.12 and 2,971.58 is: 4,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.32 : 11,853.12 = 2,971.58 : x
  2. Step 2: Convert to fraction form
    7,902.32/11,853.12 = 2,971.58/x
  3. Step 3: Cross multiply
    7,902.32x = 11,853.12 × 2,971.58
  4. Step 4: Simplify right side
    7,902.32x = 35,222,494.33
  5. Step 5: Solve for x
    x = 35,222,494.33/7,902.32
  6. Step 6: Final answer
    x = 4,457.23

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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.