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Finding the Fourth Proportional to 11,564.76, 15,958.17 and 6,529.26

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Solution

The fourth proportional to 11,564.76, 15,958.17 and 6,529.26 is: 9,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.76 : 15,958.17 = 6,529.26 : x
  2. Step 2: Convert to fraction form
    11,564.76/15,958.17 = 6,529.26/x
  3. Step 3: Cross multiply
    11,564.76x = 15,958.17 × 6,529.26
  4. Step 4: Simplify right side
    11,564.76x = 104,195,041.05
  5. Step 5: Solve for x
    x = 104,195,041.05/11,564.76
  6. Step 6: Final answer
    x = 9,009.70

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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.