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Finding the Fourth Proportional to 10,460.98, 14,435.26 and 5,984.01

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Solution

The fourth proportional to 10,460.98, 14,435.26 and 5,984.01 is: 8,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.98 : 14,435.26 = 5,984.01 : x
  2. Step 2: Convert to fraction form
    10,460.98/14,435.26 = 5,984.01/x
  3. Step 3: Cross multiply
    10,460.98x = 14,435.26 × 5,984.01
  4. Step 4: Simplify right side
    10,460.98x = 86,380,740.19
  5. Step 5: Solve for x
    x = 86,380,740.19/10,460.98
  6. Step 6: Final answer
    x = 8,257.42

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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.