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Finding the Fourth Proportional to 10,419.98, 15,627.09 and 4,575.14

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Solution

The fourth proportional to 10,419.98, 15,627.09 and 4,575.14 is: 6,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.98 : 15,627.09 = 4,575.14 : x
  2. Step 2: Convert to fraction form
    10,419.98/15,627.09 = 4,575.14/x
  3. Step 3: Cross multiply
    10,419.98x = 15,627.09 × 4,575.14
  4. Step 4: Simplify right side
    10,419.98x = 71,496,124.54
  5. Step 5: Solve for x
    x = 71,496,124.54/10,419.98
  6. Step 6: Final answer
    x = 6,861.45

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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.