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Finding the Fourth Proportional to 10,420.32, 15,619.68 and 7,815.36

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Solution

The fourth proportional to 10,420.32, 15,619.68 and 7,815.36 is: 11,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.32 : 15,619.68 = 7,815.36 : x
  2. Step 2: Convert to fraction form
    10,420.32/15,619.68 = 7,815.36/x
  3. Step 3: Cross multiply
    10,420.32x = 15,619.68 × 7,815.36
  4. Step 4: Simplify right side
    10,420.32x = 122,073,422.28
  5. Step 5: Solve for x
    x = 122,073,422.28/10,420.32
  6. Step 6: Final answer
    x = 11,714.94

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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.