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Finding the Fourth Proportional to 11,656.02, 17,467 and 5,804.58

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Solution

The fourth proportional to 11,656.02, 17,467 and 5,804.58 is: 8,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.02 : 17,467 = 5,804.58 : x
  2. Step 2: Convert to fraction form
    11,656.02/17,467 = 5,804.58/x
  3. Step 3: Cross multiply
    11,656.02x = 17,467 × 5,804.58
  4. Step 4: Simplify right side
    11,656.02x = 101,388,598.86
  5. Step 5: Solve for x
    x = 101,388,598.86/11,656.02
  6. Step 6: Final answer
    x = 8,698.39

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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.