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Finding the Fourth Proportional to 6,124.64, 8,456.05 and 5,460.34

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Solution

The fourth proportional to 6,124.64, 8,456.05 and 5,460.34 is: 7,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.64 : 8,456.05 = 5,460.34 : x
  2. Step 2: Convert to fraction form
    6,124.64/8,456.05 = 5,460.34/x
  3. Step 3: Cross multiply
    6,124.64x = 8,456.05 × 5,460.34
  4. Step 4: Simplify right side
    6,124.64x = 46,172,908.06
  5. Step 5: Solve for x
    x = 46,172,908.06/6,124.64
  6. Step 6: Final answer
    x = 7,538.88

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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.