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Finding the Fourth Proportional to 8,564.64, 12,837.52 and 5,601.86

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Solution

The fourth proportional to 8,564.64, 12,837.52 and 5,601.86 is: 8,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.64 : 12,837.52 = 5,601.86 : x
  2. Step 2: Convert to fraction form
    8,564.64/12,837.52 = 5,601.86/x
  3. Step 3: Cross multiply
    8,564.64x = 12,837.52 × 5,601.86
  4. Step 4: Simplify right side
    8,564.64x = 71,913,980.74
  5. Step 5: Solve for x
    x = 71,913,980.74/8,564.64
  6. Step 6: Final answer
    x = 8,396.62

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Why These Related Problems?

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