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Finding the Fourth Proportional to 10,384.52, 14,325.65 and 6,797.90

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Solution

The fourth proportional to 10,384.52, 14,325.65 and 6,797.90 is: 9,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.52 : 14,325.65 = 6,797.90 : x
  2. Step 2: Convert to fraction form
    10,384.52/14,325.65 = 6,797.90/x
  3. Step 3: Cross multiply
    10,384.52x = 14,325.65 × 6,797.90
  4. Step 4: Simplify right side
    10,384.52x = 97,384,336.14
  5. Step 5: Solve for x
    x = 97,384,336.14/10,384.52
  6. Step 6: Final answer
    x = 9,377.84

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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.