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Finding the Fourth Proportional to 10,481.32, 14,462.58 and 6,004

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Solution

The fourth proportional to 10,481.32, 14,462.58 and 6,004 is: 8,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.32 : 14,462.58 = 6,004 : x
  2. Step 2: Convert to fraction form
    10,481.32/14,462.58 = 6,004/x
  3. Step 3: Cross multiply
    10,481.32x = 14,462.58 × 6,004
  4. Step 4: Simplify right side
    10,481.32x = 86,833,330.32
  5. Step 5: Solve for x
    x = 86,833,330.32/10,481.32
  6. Step 6: Final answer
    x = 8,284.58

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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.