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Finding the Fourth Proportional to 11,700.10, 16,145.64 and 6,395.10

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Solution

The fourth proportional to 11,700.10, 16,145.64 and 6,395.10 is: 8,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.10 : 16,145.64 = 6,395.10 : x
  2. Step 2: Convert to fraction form
    11,700.10/16,145.64 = 6,395.10/x
  3. Step 3: Cross multiply
    11,700.10x = 16,145.64 × 6,395.10
  4. Step 4: Simplify right side
    11,700.10x = 103,252,982.36
  5. Step 5: Solve for x
    x = 103,252,982.36/11,700.10
  6. Step 6: Final answer
    x = 8,824.97

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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.