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Finding the Fourth Proportional to 10,842.25, 14,962.32 and 5,874.25

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Solution

The fourth proportional to 10,842.25, 14,962.32 and 5,874.25 is: 8,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.25 : 14,962.32 = 5,874.25 : x
  2. Step 2: Convert to fraction form
    10,842.25/14,962.32 = 5,874.25/x
  3. Step 3: Cross multiply
    10,842.25x = 14,962.32 × 5,874.25
  4. Step 4: Simplify right side
    10,842.25x = 87,892,408.26
  5. Step 5: Solve for x
    x = 87,892,408.26/10,842.25
  6. Step 6: Final answer
    x = 8,106.47

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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.