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Finding the Fourth Proportional to 10,506.44, 14,498.78 and 5,790.64

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Solution

The fourth proportional to 10,506.44, 14,498.78 and 5,790.64 is: 7,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.44 : 14,498.78 = 5,790.64 : x
  2. Step 2: Convert to fraction form
    10,506.44/14,498.78 = 5,790.64/x
  3. Step 3: Cross multiply
    10,506.44x = 14,498.78 × 5,790.64
  4. Step 4: Simplify right side
    10,506.44x = 83,957,215.42
  5. Step 5: Solve for x
    x = 83,957,215.42/10,506.44
  6. Step 6: Final answer
    x = 7,991.02

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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.