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Finding the Fourth Proportional to 10,009.91, 13,814.51 and 5,534.54

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Solution

The fourth proportional to 10,009.91, 13,814.51 and 5,534.54 is: 7,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.91 : 13,814.51 = 5,534.54 : x
  2. Step 2: Convert to fraction form
    10,009.91/13,814.51 = 5,534.54/x
  3. Step 3: Cross multiply
    10,009.91x = 13,814.51 × 5,534.54
  4. Step 4: Simplify right side
    10,009.91x = 76,456,913.23
  5. Step 5: Solve for x
    x = 76,456,913.23/10,009.91
  6. Step 6: Final answer
    x = 7,638.12

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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.