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Finding the Fourth Proportional to 11,697.54, 17,534.79 and 4,675.47

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Solution

The fourth proportional to 11,697.54, 17,534.79 and 4,675.47 is: 7,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.54 : 17,534.79 = 4,675.47 : x
  2. Step 2: Convert to fraction form
    11,697.54/17,534.79 = 4,675.47/x
  3. Step 3: Cross multiply
    11,697.54x = 17,534.79 × 4,675.47
  4. Step 4: Simplify right side
    11,697.54x = 81,983,384.60
  5. Step 5: Solve for x
    x = 81,983,384.60/11,697.54
  6. Step 6: Final answer
    x = 7,008.60

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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.