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Finding the Fourth Proportional to 10,206.02, 14,087.86 and 6,014

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Solution

The fourth proportional to 10,206.02, 14,087.86 and 6,014 is: 8,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.02 : 14,087.86 = 6,014 : x
  2. Step 2: Convert to fraction form
    10,206.02/14,087.86 = 6,014/x
  3. Step 3: Cross multiply
    10,206.02x = 14,087.86 × 6,014
  4. Step 4: Simplify right side
    10,206.02x = 84,724,390.04
  5. Step 5: Solve for x
    x = 84,724,390.04/10,206.02
  6. Step 6: Final answer
    x = 8,301.41

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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.