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Finding the Fourth Proportional to 8,152.66, 11,250.99 and 5,009.86

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Solution

The fourth proportional to 8,152.66, 11,250.99 and 5,009.86 is: 6,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.66 : 11,250.99 = 5,009.86 : x
  2. Step 2: Convert to fraction form
    8,152.66/11,250.99 = 5,009.86/x
  3. Step 3: Cross multiply
    8,152.66x = 11,250.99 × 5,009.86
  4. Step 4: Simplify right side
    8,152.66x = 56,365,884.76
  5. Step 5: Solve for x
    x = 56,365,884.76/8,152.66
  6. Step 6: Final answer
    x = 6,913.80

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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.