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Finding the Fourth Proportional to 10,385.84, 14,311.86 and 7,396.40

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Solution

The fourth proportional to 10,385.84, 14,311.86 and 7,396.40 is: 10,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.84 : 14,311.86 = 7,396.40 : x
  2. Step 2: Convert to fraction form
    10,385.84/14,311.86 = 7,396.40/x
  3. Step 3: Cross multiply
    10,385.84x = 14,311.86 × 7,396.40
  4. Step 4: Simplify right side
    10,385.84x = 105,856,241.30
  5. Step 5: Solve for x
    x = 105,856,241.30/10,385.84
  6. Step 6: Final answer
    x = 10,192.36

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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.