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Finding the Fourth Proportional to 10,043.12, 13,849.35 and 7,354.77

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Solution

The fourth proportional to 10,043.12, 13,849.35 and 7,354.77 is: 10,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.12 : 13,849.35 = 7,354.77 : x
  2. Step 2: Convert to fraction form
    10,043.12/13,849.35 = 7,354.77/x
  3. Step 3: Cross multiply
    10,043.12x = 13,849.35 × 7,354.77
  4. Step 4: Simplify right side
    10,043.12x = 101,858,783.90
  5. Step 5: Solve for x
    x = 101,858,783.90/10,043.12
  6. Step 6: Final answer
    x = 10,142.15

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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.