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Finding the Fourth Proportional to 11,271.58, 16,884.71 and 5,259.16

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Solution

The fourth proportional to 11,271.58, 16,884.71 and 5,259.16 is: 7,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.58 : 16,884.71 = 5,259.16 : x
  2. Step 2: Convert to fraction form
    11,271.58/16,884.71 = 5,259.16/x
  3. Step 3: Cross multiply
    11,271.58x = 16,884.71 × 5,259.16
  4. Step 4: Simplify right side
    11,271.58x = 88,799,391.44
  5. Step 5: Solve for x
    x = 88,799,391.44/11,271.58
  6. Step 6: Final answer
    x = 7,878.17

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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.