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Finding the Fourth Proportional to 10,185.67, 14,055.46 and 6,206.14

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Solution

The fourth proportional to 10,185.67, 14,055.46 and 6,206.14 is: 8,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.67 : 14,055.46 = 6,206.14 : x
  2. Step 2: Convert to fraction form
    10,185.67/14,055.46 = 6,206.14/x
  3. Step 3: Cross multiply
    10,185.67x = 14,055.46 × 6,206.14
  4. Step 4: Simplify right side
    10,185.67x = 87,230,152.52
  5. Step 5: Solve for x
    x = 87,230,152.52/10,185.67
  6. Step 6: Final answer
    x = 8,564.01

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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.