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Finding the Fourth Proportional to 10,508.86, 14,504.70 and 6,034.96

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Solution

The fourth proportional to 10,508.86, 14,504.70 and 6,034.96 is: 8,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.86 : 14,504.70 = 6,034.96 : x
  2. Step 2: Convert to fraction form
    10,508.86/14,504.70 = 6,034.96/x
  3. Step 3: Cross multiply
    10,508.86x = 14,504.70 × 6,034.96
  4. Step 4: Simplify right side
    10,508.86x = 87,535,284.31
  5. Step 5: Solve for x
    x = 87,535,284.31/10,508.86
  6. Step 6: Final answer
    x = 8,329.67

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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.