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Finding the Fourth Proportional to 10,844.04, 16,259.80 and 4,266.64

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Solution

The fourth proportional to 10,844.04, 16,259.80 and 4,266.64 is: 6,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.04 : 16,259.80 = 4,266.64 : x
  2. Step 2: Convert to fraction form
    10,844.04/16,259.80 = 4,266.64/x
  3. Step 3: Cross multiply
    10,844.04x = 16,259.80 × 4,266.64
  4. Step 4: Simplify right side
    10,844.04x = 69,374,713.07
  5. Step 5: Solve for x
    x = 69,374,713.07/10,844.04
  6. Step 6: Final answer
    x = 6,397.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.