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Finding the Fourth Proportional to 10,842.02, 14,962.05 and 5,874.02

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Solution

The fourth proportional to 10,842.02, 14,962.05 and 5,874.02 is: 8,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.02 : 14,962.05 = 5,874.02 : x
  2. Step 2: Convert to fraction form
    10,842.02/14,962.05 = 5,874.02/x
  3. Step 3: Cross multiply
    10,842.02x = 14,962.05 × 5,874.02
  4. Step 4: Simplify right side
    10,842.02x = 87,887,380.94
  5. Step 5: Solve for x
    x = 87,887,380.94/10,842.02
  6. Step 6: Final answer
    x = 8,106.18

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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.