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Finding the Fourth Proportional to 8,572.64, 11,829.92 and 4,846.72

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Solution

The fourth proportional to 8,572.64, 11,829.92 and 4,846.72 is: 6,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.64 : 11,829.92 = 4,846.72 : x
  2. Step 2: Convert to fraction form
    8,572.64/11,829.92 = 4,846.72/x
  3. Step 3: Cross multiply
    8,572.64x = 11,829.92 × 4,846.72
  4. Step 4: Simplify right side
    8,572.64x = 57,336,309.86
  5. Step 5: Solve for x
    x = 57,336,309.86/8,572.64
  6. Step 6: Final answer
    x = 6,688.29

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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.