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Finding the Fourth Proportional to 10,032.64, 13,846.98 and 5,786.44

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Solution

The fourth proportional to 10,032.64, 13,846.98 and 5,786.44 is: 7,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.64 : 13,846.98 = 5,786.44 : x
  2. Step 2: Convert to fraction form
    10,032.64/13,846.98 = 5,786.44/x
  3. Step 3: Cross multiply
    10,032.64x = 13,846.98 × 5,786.44
  4. Step 4: Simplify right side
    10,032.64x = 80,124,718.95
  5. Step 5: Solve for x
    x = 80,124,718.95/10,032.64
  6. Step 6: Final answer
    x = 7,986.40

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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.