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Finding the Fourth Proportional to 10,378.79, 14,325.78 and 5,905.04

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Solution

The fourth proportional to 10,378.79, 14,325.78 and 5,905.04 is: 8,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.79 : 14,325.78 = 5,905.04 : x
  2. Step 2: Convert to fraction form
    10,378.79/14,325.78 = 5,905.04/x
  3. Step 3: Cross multiply
    10,378.79x = 14,325.78 × 5,905.04
  4. Step 4: Simplify right side
    10,378.79x = 84,594,202.78
  5. Step 5: Solve for x
    x = 84,594,202.78/10,378.79
  6. Step 6: Final answer
    x = 8,150.68

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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.