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Finding the Fourth Proportional to 10,558.96, 15,842.18 and 5,016.74

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Solution

The fourth proportional to 10,558.96, 15,842.18 and 5,016.74 is: 7,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.96 : 15,842.18 = 5,016.74 : x
  2. Step 2: Convert to fraction form
    10,558.96/15,842.18 = 5,016.74/x
  3. Step 3: Cross multiply
    10,558.96x = 15,842.18 × 5,016.74
  4. Step 4: Simplify right side
    10,558.96x = 79,476,031.42
  5. Step 5: Solve for x
    x = 79,476,031.42/10,558.96
  6. Step 6: Final answer
    x = 7,526.88

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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.