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Finding the Fourth Proportional to 10,403.63, 14,357.09 and 5,687.91

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Solution

The fourth proportional to 10,403.63, 14,357.09 and 5,687.91 is: 7,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.63 : 14,357.09 = 5,687.91 : x
  2. Step 2: Convert to fraction form
    10,403.63/14,357.09 = 5,687.91/x
  3. Step 3: Cross multiply
    10,403.63x = 14,357.09 × 5,687.91
  4. Step 4: Simplify right side
    10,403.63x = 81,661,835.78
  5. Step 5: Solve for x
    x = 81,661,835.78/10,403.63
  6. Step 6: Final answer
    x = 7,849.36

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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.