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Finding the Fourth Proportional to 7,842.48, 11,767.01 and 4,883.40

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Solution

The fourth proportional to 7,842.48, 11,767.01 and 4,883.40 is: 7,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.48 : 11,767.01 = 4,883.40 : x
  2. Step 2: Convert to fraction form
    7,842.48/11,767.01 = 4,883.40/x
  3. Step 3: Cross multiply
    7,842.48x = 11,767.01 × 4,883.40
  4. Step 4: Simplify right side
    7,842.48x = 57,463,016.63
  5. Step 5: Solve for x
    x = 57,463,016.63/7,842.48
  6. Step 6: Final answer
    x = 7,327.15

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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.