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Finding the Fourth Proportional to 11,980.32, 16,532.80 and 6,675.20

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Solution

The fourth proportional to 11,980.32, 16,532.80 and 6,675.20 is: 9,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.32 : 16,532.80 = 6,675.20 : x
  2. Step 2: Convert to fraction form
    11,980.32/16,532.80 = 6,675.20/x
  3. Step 3: Cross multiply
    11,980.32x = 16,532.80 × 6,675.20
  4. Step 4: Simplify right side
    11,980.32x = 110,359,746.56
  5. Step 5: Solve for x
    x = 110,359,746.56/11,980.32
  6. Step 6: Final answer
    x = 9,211.75

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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.