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Finding the Fourth Proportional to 10,568.64, 14,584.68 and 5,788.61

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Solution

The fourth proportional to 10,568.64, 14,584.68 and 5,788.61 is: 7,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.64 : 14,584.68 = 5,788.61 : x
  2. Step 2: Convert to fraction form
    10,568.64/14,584.68 = 5,788.61/x
  3. Step 3: Cross multiply
    10,568.64x = 14,584.68 × 5,788.61
  4. Step 4: Simplify right side
    10,568.64x = 84,425,024.49
  5. Step 5: Solve for x
    x = 84,425,024.49/10,568.64
  6. Step 6: Final answer
    x = 7,988.26

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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.