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Finding the Fourth Proportional to 10,459.48, 15,693.80 and 3,884.24

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Solution

The fourth proportional to 10,459.48, 15,693.80 and 3,884.24 is: 5,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.48 : 15,693.80 = 3,884.24 : x
  2. Step 2: Convert to fraction form
    10,459.48/15,693.80 = 3,884.24/x
  3. Step 3: Cross multiply
    10,459.48x = 15,693.80 × 3,884.24
  4. Step 4: Simplify right side
    10,459.48x = 60,958,485.71
  5. Step 5: Solve for x
    x = 60,958,485.71/10,459.48
  6. Step 6: Final answer
    x = 5,828.06

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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.