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Finding the Fourth Proportional to 8,129.04, 11,214.68 and 5,471.84

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Solution

The fourth proportional to 8,129.04, 11,214.68 and 5,471.84 is: 7,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.04 : 11,214.68 = 5,471.84 : x
  2. Step 2: Convert to fraction form
    8,129.04/11,214.68 = 5,471.84/x
  3. Step 3: Cross multiply
    8,129.04x = 11,214.68 × 5,471.84
  4. Step 4: Simplify right side
    8,129.04x = 61,364,851.18
  5. Step 5: Solve for x
    x = 61,364,851.18/8,129.04
  6. Step 6: Final answer
    x = 7,548.84

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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.