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Finding the Fourth Proportional to 10,523.94, 14,518.49 and 6,046.67

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Solution

The fourth proportional to 10,523.94, 14,518.49 and 6,046.67 is: 8,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.94 : 14,518.49 = 6,046.67 : x
  2. Step 2: Convert to fraction form
    10,523.94/14,518.49 = 6,046.67/x
  3. Step 3: Cross multiply
    10,523.94x = 14,518.49 × 6,046.67
  4. Step 4: Simplify right side
    10,523.94x = 87,788,415.10
  5. Step 5: Solve for x
    x = 87,788,415.10/10,523.94
  6. Step 6: Final answer
    x = 8,341.78

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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.