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Finding the Fourth Proportional to 11,478.28, 15,848.82 and 8,821.48

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Solution

The fourth proportional to 11,478.28, 15,848.82 and 8,821.48 is: 12,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.28 : 15,848.82 = 8,821.48 : x
  2. Step 2: Convert to fraction form
    11,478.28/15,848.82 = 8,821.48/x
  3. Step 3: Cross multiply
    11,478.28x = 15,848.82 × 8,821.48
  4. Step 4: Simplify right side
    11,478.28x = 139,810,048.65
  5. Step 5: Solve for x
    x = 139,810,048.65/11,478.28
  6. Step 6: Final answer
    x = 12,180.40

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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.