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Finding the Fourth Proportional to 10,407.44, 15,610.80 and 2,616.32

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Solution

The fourth proportional to 10,407.44, 15,610.80 and 2,616.32 is: 3,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.44 : 15,610.80 = 2,616.32 : x
  2. Step 2: Convert to fraction form
    10,407.44/15,610.80 = 2,616.32/x
  3. Step 3: Cross multiply
    10,407.44x = 15,610.80 × 2,616.32
  4. Step 4: Simplify right side
    10,407.44x = 40,842,848.26
  5. Step 5: Solve for x
    x = 40,842,848.26/10,407.44
  6. Step 6: Final answer
    x = 3,924.39

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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.