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Finding the Fourth Proportional to 10,846.26, 14,967.84 and 5,878.26

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Solution

The fourth proportional to 10,846.26, 14,967.84 and 5,878.26 is: 8,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.26 : 14,967.84 = 5,878.26 : x
  2. Step 2: Convert to fraction form
    10,846.26/14,967.84 = 5,878.26/x
  3. Step 3: Cross multiply
    10,846.26x = 14,967.84 × 5,878.26
  4. Step 4: Simplify right side
    10,846.26x = 87,984,855.16
  5. Step 5: Solve for x
    x = 87,984,855.16/10,846.26
  6. Step 6: Final answer
    x = 8,112.00

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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.