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Finding the Fourth Proportional to 10,337.50, 14,265.75 and 6,145.75

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Solution

The fourth proportional to 10,337.50, 14,265.75 and 6,145.75 is: 8,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.50 : 14,265.75 = 6,145.75 : x
  2. Step 2: Convert to fraction form
    10,337.50/14,265.75 = 6,145.75/x
  3. Step 3: Cross multiply
    10,337.50x = 14,265.75 × 6,145.75
  4. Step 4: Simplify right side
    10,337.50x = 87,673,733.06
  5. Step 5: Solve for x
    x = 87,673,733.06/10,337.50
  6. Step 6: Final answer
    x = 8,481.14

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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.