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Finding the Fourth Proportional to 10,165.44, 15,219.40 and 6,458.48

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Solution

The fourth proportional to 10,165.44, 15,219.40 and 6,458.48 is: 9,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.44 : 15,219.40 = 6,458.48 : x
  2. Step 2: Convert to fraction form
    10,165.44/15,219.40 = 6,458.48/x
  3. Step 3: Cross multiply
    10,165.44x = 15,219.40 × 6,458.48
  4. Step 4: Simplify right side
    10,165.44x = 98,294,190.51
  5. Step 5: Solve for x
    x = 98,294,190.51/10,165.44
  6. Step 6: Final answer
    x = 9,669.45

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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.