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Finding the Fourth Proportional to 10,451.64, 14,422.51 and 5,975.58

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Solution

The fourth proportional to 10,451.64, 14,422.51 and 5,975.58 is: 8,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.64 : 14,422.51 = 5,975.58 : x
  2. Step 2: Convert to fraction form
    10,451.64/14,422.51 = 5,975.58/x
  3. Step 3: Cross multiply
    10,451.64x = 14,422.51 × 5,975.58
  4. Step 4: Simplify right side
    10,451.64x = 86,182,775.25
  5. Step 5: Solve for x
    x = 86,182,775.25/10,451.64
  6. Step 6: Final answer
    x = 8,245.87

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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.