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Finding the Fourth Proportional to 10,254.32, 15,379.80 and 3,679.28

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Solution

The fourth proportional to 10,254.32, 15,379.80 and 3,679.28 is: 5,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.32 : 15,379.80 = 3,679.28 : x
  2. Step 2: Convert to fraction form
    10,254.32/15,379.80 = 3,679.28/x
  3. Step 3: Cross multiply
    10,254.32x = 15,379.80 × 3,679.28
  4. Step 4: Simplify right side
    10,254.32x = 56,586,590.54
  5. Step 5: Solve for x
    x = 56,586,590.54/10,254.32
  6. Step 6: Final answer
    x = 5,518.32

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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.