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Finding the Fourth Proportional to 10,378.29, 14,325.08 and 5,904.54

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Solution

The fourth proportional to 10,378.29, 14,325.08 and 5,904.54 is: 8,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.29 : 14,325.08 = 5,904.54 : x
  2. Step 2: Convert to fraction form
    10,378.29/14,325.08 = 5,904.54/x
  3. Step 3: Cross multiply
    10,378.29x = 14,325.08 × 5,904.54
  4. Step 4: Simplify right side
    10,378.29x = 84,582,951.00
  5. Step 5: Solve for x
    x = 84,582,951.00/10,378.29
  6. Step 6: Final answer
    x = 8,149.99

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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.