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Finding the Fourth Proportional to 10,568.15, 14,584.21 and 5,788.01

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Solution

The fourth proportional to 10,568.15, 14,584.21 and 5,788.01 is: 7,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.15 : 14,584.21 = 5,788.01 : x
  2. Step 2: Convert to fraction form
    10,568.15/14,584.21 = 5,788.01/x
  3. Step 3: Cross multiply
    10,568.15x = 14,584.21 × 5,788.01
  4. Step 4: Simplify right side
    10,568.15x = 84,413,480.40
  5. Step 5: Solve for x
    x = 84,413,480.40/10,568.15
  6. Step 6: Final answer
    x = 7,987.54

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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.