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Finding the Fourth Proportional to 11,807.32, 17,708.14 and 3,485.09

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Solution

The fourth proportional to 11,807.32, 17,708.14 and 3,485.09 is: 5,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.32 : 17,708.14 = 3,485.09 : x
  2. Step 2: Convert to fraction form
    11,807.32/17,708.14 = 3,485.09/x
  3. Step 3: Cross multiply
    11,807.32x = 17,708.14 × 3,485.09
  4. Step 4: Simplify right side
    11,807.32x = 61,714,461.63
  5. Step 5: Solve for x
    x = 61,714,461.63/11,807.32
  6. Step 6: Final answer
    x = 5,226.80

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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.