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Finding the Fourth Proportional to 10,180.63, 14,047.97 and 5,703.28

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Solution

The fourth proportional to 10,180.63, 14,047.97 and 5,703.28 is: 7,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.63 : 14,047.97 = 5,703.28 : x
  2. Step 2: Convert to fraction form
    10,180.63/14,047.97 = 5,703.28/x
  3. Step 3: Cross multiply
    10,180.63x = 14,047.97 × 5,703.28
  4. Step 4: Simplify right side
    10,180.63x = 80,119,527.20
  5. Step 5: Solve for x
    x = 80,119,527.20/10,180.63
  6. Step 6: Final answer
    x = 7,869.80

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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.