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Finding the Fourth Proportional to 10,476.12, 15,714.18 and 3,080.64

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Solution

The fourth proportional to 10,476.12, 15,714.18 and 3,080.64 is: 4,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.12 : 15,714.18 = 3,080.64 : x
  2. Step 2: Convert to fraction form
    10,476.12/15,714.18 = 3,080.64/x
  3. Step 3: Cross multiply
    10,476.12x = 15,714.18 × 3,080.64
  4. Step 4: Simplify right side
    10,476.12x = 48,409,799.07
  5. Step 5: Solve for x
    x = 48,409,799.07/10,476.12
  6. Step 6: Final answer
    x = 4,620.97

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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.