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Finding the Fourth Proportional to 10,278.56, 15,403.08 and 5,078.36

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Solution

The fourth proportional to 10,278.56, 15,403.08 and 5,078.36 is: 7,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.56 : 15,403.08 = 5,078.36 : x
  2. Step 2: Convert to fraction form
    10,278.56/15,403.08 = 5,078.36/x
  3. Step 3: Cross multiply
    10,278.56x = 15,403.08 × 5,078.36
  4. Step 4: Simplify right side
    10,278.56x = 78,222,385.35
  5. Step 5: Solve for x
    x = 78,222,385.35/10,278.56
  6. Step 6: Final answer
    x = 7,610.25

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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.