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Finding the Fourth Proportional to 10,135.21, 13,986.82 and 6,358.53

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Solution

The fourth proportional to 10,135.21, 13,986.82 and 6,358.53 is: 8,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.21 : 13,986.82 = 6,358.53 : x
  2. Step 2: Convert to fraction form
    10,135.21/13,986.82 = 6,358.53/x
  3. Step 3: Cross multiply
    10,135.21x = 13,986.82 × 6,358.53
  4. Step 4: Simplify right side
    10,135.21x = 88,935,614.57
  5. Step 5: Solve for x
    x = 88,935,614.57/10,135.21
  6. Step 6: Final answer
    x = 8,774.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.