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Finding the Fourth Proportional to 10,014.01, 13,819.08 and 5,537.64

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Solution

The fourth proportional to 10,014.01, 13,819.08 and 5,537.64 is: 7,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.01 : 13,819.08 = 5,537.64 : x
  2. Step 2: Convert to fraction form
    10,014.01/13,819.08 = 5,537.64/x
  3. Step 3: Cross multiply
    10,014.01x = 13,819.08 × 5,537.64
  4. Step 4: Simplify right side
    10,014.01x = 76,525,090.17
  5. Step 5: Solve for x
    x = 76,525,090.17/10,014.01
  6. Step 6: Final answer
    x = 7,641.80

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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.