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Finding the Fourth Proportional to 8,722.96, 13,088.77 and 3,457.86

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Solution

The fourth proportional to 8,722.96, 13,088.77 and 3,457.86 is: 5,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.96 : 13,088.77 = 3,457.86 : x
  2. Step 2: Convert to fraction form
    8,722.96/13,088.77 = 3,457.86/x
  3. Step 3: Cross multiply
    8,722.96x = 13,088.77 × 3,457.86
  4. Step 4: Simplify right side
    8,722.96x = 45,259,088.54
  5. Step 5: Solve for x
    x = 45,259,088.54/8,722.96
  6. Step 6: Final answer
    x = 5,188.50

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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.