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Finding the Fourth Proportional to 11,448.63, 15,680.70 and 10,776.15

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Solution

The fourth proportional to 11,448.63, 15,680.70 and 10,776.15 is: 14,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.63 : 15,680.70 = 10,776.15 : x
  2. Step 2: Convert to fraction form
    11,448.63/15,680.70 = 10,776.15/x
  3. Step 3: Cross multiply
    11,448.63x = 15,680.70 × 10,776.15
  4. Step 4: Simplify right side
    11,448.63x = 168,977,575.31
  5. Step 5: Solve for x
    x = 168,977,575.31/11,448.63
  6. Step 6: Final answer
    x = 14,759.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.