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Finding the Fourth Proportional to 11,564.82, 15,958.53 and 6,530.26

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Solution

The fourth proportional to 11,564.82, 15,958.53 and 6,530.26 is: 9,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.82 : 15,958.53 = 6,530.26 : x
  2. Step 2: Convert to fraction form
    11,564.82/15,958.53 = 6,530.26/x
  3. Step 3: Cross multiply
    11,564.82x = 15,958.53 × 6,530.26
  4. Step 4: Simplify right side
    11,564.82x = 104,213,350.12
  5. Step 5: Solve for x
    x = 104,213,350.12/11,564.82
  6. Step 6: Final answer
    x = 9,011.24

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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.