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Finding the Fourth Proportional to 10,475.81, 14,456.90 and 5,696.07

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Solution

The fourth proportional to 10,475.81, 14,456.90 and 5,696.07 is: 7,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.81 : 14,456.90 = 5,696.07 : x
  2. Step 2: Convert to fraction form
    10,475.81/14,456.90 = 5,696.07/x
  3. Step 3: Cross multiply
    10,475.81x = 14,456.90 × 5,696.07
  4. Step 4: Simplify right side
    10,475.81x = 82,347,485.90
  5. Step 5: Solve for x
    x = 82,347,485.90/10,475.81
  6. Step 6: Final answer
    x = 7,860.73

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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.