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Finding the Fourth Proportional to 10,480.59, 14,463.41 and 5,700.63

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Solution

The fourth proportional to 10,480.59, 14,463.41 and 5,700.63 is: 7,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.59 : 14,463.41 = 5,700.63 : x
  2. Step 2: Convert to fraction form
    10,480.59/14,463.41 = 5,700.63/x
  3. Step 3: Cross multiply
    10,480.59x = 14,463.41 × 5,700.63
  4. Step 4: Simplify right side
    10,480.59x = 82,450,520.45
  5. Step 5: Solve for x
    x = 82,450,520.45/10,480.59
  6. Step 6: Final answer
    x = 7,866.97

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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.