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Finding the Fourth Proportional to 12,568.48, 17,345.82 and 7,788.04

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Solution

The fourth proportional to 12,568.48, 17,345.82 and 7,788.04 is: 10,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.48 : 17,345.82 = 7,788.04 : x
  2. Step 2: Convert to fraction form
    12,568.48/17,345.82 = 7,788.04/x
  3. Step 3: Cross multiply
    12,568.48x = 17,345.82 × 7,788.04
  4. Step 4: Simplify right side
    12,568.48x = 135,089,939.99
  5. Step 5: Solve for x
    x = 135,089,939.99/12,568.48
  6. Step 6: Final answer
    x = 10,748.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.