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Finding the Fourth Proportional to 8,272.50, 11,416.86 and 5,129.70

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Solution

The fourth proportional to 8,272.50, 11,416.86 and 5,129.70 is: 7,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.50 : 11,416.86 = 5,129.70 : x
  2. Step 2: Convert to fraction form
    8,272.50/11,416.86 = 5,129.70/x
  3. Step 3: Cross multiply
    8,272.50x = 11,416.86 × 5,129.70
  4. Step 4: Simplify right side
    8,272.50x = 58,565,066.74
  5. Step 5: Solve for x
    x = 58,565,066.74/8,272.50
  6. Step 6: Final answer
    x = 7,079.49

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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.