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Finding the Fourth Proportional to 10,365.76, 15,537.34 and 5,090.30

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Solution

The fourth proportional to 10,365.76, 15,537.34 and 5,090.30 is: 7,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.76 : 15,537.34 = 5,090.30 : x
  2. Step 2: Convert to fraction form
    10,365.76/15,537.34 = 5,090.30/x
  3. Step 3: Cross multiply
    10,365.76x = 15,537.34 × 5,090.30
  4. Step 4: Simplify right side
    10,365.76x = 79,089,721.80
  5. Step 5: Solve for x
    x = 79,089,721.80/10,365.76
  6. Step 6: Final answer
    x = 7,629.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.