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Finding the Fourth Proportional to 10,523.12, 14,521.31 and 6,046.86

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Solution

The fourth proportional to 10,523.12, 14,521.31 and 6,046.86 is: 8,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.12 : 14,521.31 = 6,046.86 : x
  2. Step 2: Convert to fraction form
    10,523.12/14,521.31 = 6,046.86/x
  3. Step 3: Cross multiply
    10,523.12x = 14,521.31 × 6,046.86
  4. Step 4: Simplify right side
    10,523.12x = 87,808,298.35
  5. Step 5: Solve for x
    x = 87,808,298.35/10,523.12
  6. Step 6: Final answer
    x = 8,344.33

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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.