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Finding the Fourth Proportional to 10,670.64, 14,725.71 and 5,954.82

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Solution

The fourth proportional to 10,670.64, 14,725.71 and 5,954.82 is: 8,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.64 : 14,725.71 = 5,954.82 : x
  2. Step 2: Convert to fraction form
    10,670.64/14,725.71 = 5,954.82/x
  3. Step 3: Cross multiply
    10,670.64x = 14,725.71 × 5,954.82
  4. Step 4: Simplify right side
    10,670.64x = 87,688,952.42
  5. Step 5: Solve for x
    x = 87,688,952.42/10,670.64
  6. Step 6: Final answer
    x = 8,217.78

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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.