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Finding the Fourth Proportional to 10,970.52, 16,455.92 and 3,179.36

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Solution

The fourth proportional to 10,970.52, 16,455.92 and 3,179.36 is: 4,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.52 : 16,455.92 = 3,179.36 : x
  2. Step 2: Convert to fraction form
    10,970.52/16,455.92 = 3,179.36/x
  3. Step 3: Cross multiply
    10,970.52x = 16,455.92 × 3,179.36
  4. Step 4: Simplify right side
    10,970.52x = 52,319,293.81
  5. Step 5: Solve for x
    x = 52,319,293.81/10,970.52
  6. Step 6: Final answer
    x = 4,769.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.