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Finding the Fourth Proportional to 10,646.35, 15,953.09 and 6,742.55

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Solution

The fourth proportional to 10,646.35, 15,953.09 and 6,742.55 is: 10,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.35 : 15,953.09 = 6,742.55 : x
  2. Step 2: Convert to fraction form
    10,646.35/15,953.09 = 6,742.55/x
  3. Step 3: Cross multiply
    10,646.35x = 15,953.09 × 6,742.55
  4. Step 4: Simplify right side
    10,646.35x = 107,564,513.15
  5. Step 5: Solve for x
    x = 107,564,513.15/10,646.35
  6. Step 6: Final answer
    x = 10,103.42

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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.