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Finding the Fourth Proportional to 11,465.37, 17,198.10 and 4,070.06

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Solution

The fourth proportional to 11,465.37, 17,198.10 and 4,070.06 is: 6,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.37 : 17,198.10 = 4,070.06 : x
  2. Step 2: Convert to fraction form
    11,465.37/17,198.10 = 4,070.06/x
  3. Step 3: Cross multiply
    11,465.37x = 17,198.10 × 4,070.06
  4. Step 4: Simplify right side
    11,465.37x = 69,997,298.89
  5. Step 5: Solve for x
    x = 69,997,298.89/11,465.37
  6. Step 6: Final answer
    x = 6,105.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.