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Finding the Fourth Proportional to 10,384.76, 14,329.04 and 5,908.25

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Solution

The fourth proportional to 10,384.76, 14,329.04 and 5,908.25 is: 8,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.76 : 14,329.04 = 5,908.25 : x
  2. Step 2: Convert to fraction form
    10,384.76/14,329.04 = 5,908.25/x
  3. Step 3: Cross multiply
    10,384.76x = 14,329.04 × 5,908.25
  4. Step 4: Simplify right side
    10,384.76x = 84,659,449.39
  5. Step 5: Solve for x
    x = 84,659,449.39/10,384.76
  6. Step 6: Final answer
    x = 8,152.28

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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.