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Finding the Fourth Proportional to 11,564.57, 15,958.19 and 6,530.01

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Solution

The fourth proportional to 11,564.57, 15,958.19 and 6,530.01 is: 9,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.57 : 15,958.19 = 6,530.01 : x
  2. Step 2: Convert to fraction form
    11,564.57/15,958.19 = 6,530.01/x
  3. Step 3: Cross multiply
    11,564.57x = 15,958.19 × 6,530.01
  4. Step 4: Simplify right side
    11,564.57x = 104,207,107.63
  5. Step 5: Solve for x
    x = 104,207,107.63/11,564.57
  6. Step 6: Final answer
    x = 9,010.90

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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.