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Finding the Fourth Proportional to 10,026.89, 15,040.03 and 4,765.69

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Solution

The fourth proportional to 10,026.89, 15,040.03 and 4,765.69 is: 7,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.89 : 15,040.03 = 4,765.69 : x
  2. Step 2: Convert to fraction form
    10,026.89/15,040.03 = 4,765.69/x
  3. Step 3: Cross multiply
    10,026.89x = 15,040.03 × 4,765.69
  4. Step 4: Simplify right side
    10,026.89x = 71,676,096.74
  5. Step 5: Solve for x
    x = 71,676,096.74/10,026.89
  6. Step 6: Final answer
    x = 7,148.39

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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.