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Finding the Fourth Proportional to 10,794.16, 14,896.71 and 6,014.50

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Solution

The fourth proportional to 10,794.16, 14,896.71 and 6,014.50 is: 8,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.16 : 14,896.71 = 6,014.50 : x
  2. Step 2: Convert to fraction form
    10,794.16/14,896.71 = 6,014.50/x
  3. Step 3: Cross multiply
    10,794.16x = 14,896.71 × 6,014.50
  4. Step 4: Simplify right side
    10,794.16x = 89,596,262.30
  5. Step 5: Solve for x
    x = 89,596,262.30/10,794.16
  6. Step 6: Final answer
    x = 8,300.44

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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.