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Finding the Fourth Proportional to 11,534.40, 15,908.76 and 9,943.80

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Solution

The fourth proportional to 11,534.40, 15,908.76 and 9,943.80 is: 13,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.40 : 15,908.76 = 9,943.80 : x
  2. Step 2: Convert to fraction form
    11,534.40/15,908.76 = 9,943.80/x
  3. Step 3: Cross multiply
    11,534.40x = 15,908.76 × 9,943.80
  4. Step 4: Simplify right side
    11,534.40x = 158,193,527.69
  5. Step 5: Solve for x
    x = 158,193,527.69/11,534.40
  6. Step 6: Final answer
    x = 13,714.93

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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.