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Finding the Fourth Proportional to 6,129.30, 8,460.21 and 4,005.15

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Solution

The fourth proportional to 6,129.30, 8,460.21 and 4,005.15 is: 5,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.30 : 8,460.21 = 4,005.15 : x
  2. Step 2: Convert to fraction form
    6,129.30/8,460.21 = 4,005.15/x
  3. Step 3: Cross multiply
    6,129.30x = 8,460.21 × 4,005.15
  4. Step 4: Simplify right side
    6,129.30x = 33,884,410.08
  5. Step 5: Solve for x
    x = 33,884,410.08/6,129.30
  6. Step 6: Final answer
    x = 5,528.27

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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.