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Finding the Fourth Proportional to 8,484.30, 11,709.54 and 5,127.60

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Solution

The fourth proportional to 8,484.30, 11,709.54 and 5,127.60 is: 7,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.30 : 11,709.54 = 5,127.60 : x
  2. Step 2: Convert to fraction form
    8,484.30/11,709.54 = 5,127.60/x
  3. Step 3: Cross multiply
    8,484.30x = 11,709.54 × 5,127.60
  4. Step 4: Simplify right side
    8,484.30x = 60,041,837.30
  5. Step 5: Solve for x
    x = 60,041,837.30/8,484.30
  6. Step 6: Final answer
    x = 7,076.82

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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.