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Finding the Fourth Proportional to 6,124.64, 8,456.18 and 4,111.08

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Solution

The fourth proportional to 6,124.64, 8,456.18 and 4,111.08 is: 5,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.64 : 8,456.18 = 4,111.08 : x
  2. Step 2: Convert to fraction form
    6,124.64/8,456.18 = 4,111.08/x
  3. Step 3: Cross multiply
    6,124.64x = 8,456.18 × 4,111.08
  4. Step 4: Simplify right side
    6,124.64x = 34,764,032.47
  5. Step 5: Solve for x
    x = 34,764,032.47/6,124.64
  6. Step 6: Final answer
    x = 5,676.09

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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.