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Finding the Fourth Proportional to 12,564.26, 17,334.30 and 7,530.11

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Solution

The fourth proportional to 12,564.26, 17,334.30 and 7,530.11 is: 10,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.26 : 17,334.30 = 7,530.11 : x
  2. Step 2: Convert to fraction form
    12,564.26/17,334.30 = 7,530.11/x
  3. Step 3: Cross multiply
    12,564.26x = 17,334.30 × 7,530.11
  4. Step 4: Simplify right side
    12,564.26x = 130,529,289.85
  5. Step 5: Solve for x
    x = 130,529,289.85/12,564.26
  6. Step 6: Final answer
    x = 10,388.93

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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.