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Finding the Fourth Proportional to 7,888.48, 11,832.96 and 2,957.14

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Solution

The fourth proportional to 7,888.48, 11,832.96 and 2,957.14 is: 4,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.48 : 11,832.96 = 2,957.14 : x
  2. Step 2: Convert to fraction form
    7,888.48/11,832.96 = 2,957.14/x
  3. Step 3: Cross multiply
    7,888.48x = 11,832.96 × 2,957.14
  4. Step 4: Simplify right side
    7,888.48x = 34,991,719.33
  5. Step 5: Solve for x
    x = 34,991,719.33/7,888.48
  6. Step 6: Final answer
    x = 4,435.80

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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.