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Finding the Fourth Proportional to 11,564.16, 15,958.56 and 6,596.16

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Solution

The fourth proportional to 11,564.16, 15,958.56 and 6,596.16 is: 9,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.16 : 15,958.56 = 6,596.16 : x
  2. Step 2: Convert to fraction form
    11,564.16/15,958.56 = 6,596.16/x
  3. Step 3: Cross multiply
    11,564.16x = 15,958.56 × 6,596.16
  4. Step 4: Simplify right side
    11,564.16x = 105,265,215.13
  5. Step 5: Solve for x
    x = 105,265,215.13/11,564.16
  6. Step 6: Final answer
    x = 9,102.71

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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.