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Finding the Fourth Proportional to 10,477.54, 15,714.69 and 3,080.62

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Solution

The fourth proportional to 10,477.54, 15,714.69 and 3,080.62 is: 4,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.54 : 15,714.69 = 3,080.62 : x
  2. Step 2: Convert to fraction form
    10,477.54/15,714.69 = 3,080.62/x
  3. Step 3: Cross multiply
    10,477.54x = 15,714.69 × 3,080.62
  4. Step 4: Simplify right side
    10,477.54x = 48,410,988.31
  5. Step 5: Solve for x
    x = 48,410,988.31/10,477.54
  6. Step 6: Final answer
    x = 4,620.45

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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.