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Finding the Fourth Proportional to 10,186.64, 15,260.08 and 4,842.22

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Solution

The fourth proportional to 10,186.64, 15,260.08 and 4,842.22 is: 7,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.64 : 15,260.08 = 4,842.22 : x
  2. Step 2: Convert to fraction form
    10,186.64/15,260.08 = 4,842.22/x
  3. Step 3: Cross multiply
    10,186.64x = 15,260.08 × 4,842.22
  4. Step 4: Simplify right side
    10,186.64x = 73,892,664.58
  5. Step 5: Solve for x
    x = 73,892,664.58/10,186.64
  6. Step 6: Final answer
    x = 7,253.88

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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.