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Finding the Fourth Proportional to 11,564.91, 15,960.63 and 6,530.37

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Solution

The fourth proportional to 11,564.91, 15,960.63 and 6,530.37 is: 9,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.91 : 15,960.63 = 6,530.37 : x
  2. Step 2: Convert to fraction form
    11,564.91/15,960.63 = 6,530.37/x
  3. Step 3: Cross multiply
    11,564.91x = 15,960.63 × 6,530.37
  4. Step 4: Simplify right side
    11,564.91x = 104,228,706.88
  5. Step 5: Solve for x
    x = 104,228,706.88/11,564.91
  6. Step 6: Final answer
    x = 9,012.50

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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.