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Finding the Fourth Proportional to 10,554, 14,563.26 and 5,837.64

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Solution

The fourth proportional to 10,554, 14,563.26 and 5,837.64 is: 8,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554 : 14,563.26 = 5,837.64 : x
  2. Step 2: Convert to fraction form
    10,554/14,563.26 = 5,837.64/x
  3. Step 3: Cross multiply
    10,554x = 14,563.26 × 5,837.64
  4. Step 4: Simplify right side
    10,554x = 85,015,069.11
  5. Step 5: Solve for x
    x = 85,015,069.11/10,554
  6. Step 6: Final answer
    x = 8,055.25

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Why These Related Problems?

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