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Finding the Fourth Proportional to 8,564.37, 12,845.52 and 2,324

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Solution

The fourth proportional to 8,564.37, 12,845.52 and 2,324 is: 3,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.37 : 12,845.52 = 2,324 : x
  2. Step 2: Convert to fraction form
    8,564.37/12,845.52 = 2,324/x
  3. Step 3: Cross multiply
    8,564.37x = 12,845.52 × 2,324
  4. Step 4: Simplify right side
    8,564.37x = 29,852,988.48
  5. Step 5: Solve for x
    x = 29,852,988.48/8,564.37
  6. Step 6: Final answer
    x = 3,485.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.