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Finding the Fourth Proportional to 10,010.46, 13,813.76 and 5,533.61

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Solution

The fourth proportional to 10,010.46, 13,813.76 and 5,533.61 is: 7,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.46 : 13,813.76 = 5,533.61 : x
  2. Step 2: Convert to fraction form
    10,010.46/13,813.76 = 5,533.61/x
  3. Step 3: Cross multiply
    10,010.46x = 13,813.76 × 5,533.61
  4. Step 4: Simplify right side
    10,010.46x = 76,439,982.94
  5. Step 5: Solve for x
    x = 76,439,982.94/10,010.46
  6. Step 6: Final answer
    x = 7,636.01

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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.