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Finding the Fourth Proportional to 11,564.41, 15,958.94 and 6,528.85

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Solution

The fourth proportional to 11,564.41, 15,958.94 and 6,528.85 is: 9,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.41 : 15,958.94 = 6,528.85 : x
  2. Step 2: Convert to fraction form
    11,564.41/15,958.94 = 6,528.85/x
  3. Step 3: Cross multiply
    11,564.41x = 15,958.94 × 6,528.85
  4. Step 4: Simplify right side
    11,564.41x = 104,193,525.42
  5. Step 5: Solve for x
    x = 104,193,525.42/11,564.41
  6. Step 6: Final answer
    x = 9,009.84

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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.