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Finding the Fourth Proportional to 10,378.43, 14,305.16 and 7,354.56

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Solution

The fourth proportional to 10,378.43, 14,305.16 and 7,354.56 is: 10,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.43 : 14,305.16 = 7,354.56 : x
  2. Step 2: Convert to fraction form
    10,378.43/14,305.16 = 7,354.56/x
  3. Step 3: Cross multiply
    10,378.43x = 14,305.16 × 7,354.56
  4. Step 4: Simplify right side
    10,378.43x = 105,208,120.76
  5. Step 5: Solve for x
    x = 105,208,120.76/10,378.43
  6. Step 6: Final answer
    x = 10,137.20

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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.