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Finding the Fourth Proportional to 11,600.34, 16,008.58 and 6,564.60

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Solution

The fourth proportional to 11,600.34, 16,008.58 and 6,564.60 is: 9,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.34 : 16,008.58 = 6,564.60 : x
  2. Step 2: Convert to fraction form
    11,600.34/16,008.58 = 6,564.60/x
  3. Step 3: Cross multiply
    11,600.34x = 16,008.58 × 6,564.60
  4. Step 4: Simplify right side
    11,600.34x = 105,089,924.27
  5. Step 5: Solve for x
    x = 105,089,924.27/11,600.34
  6. Step 6: Final answer
    x = 9,059.21

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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.