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Finding the Fourth Proportional to 10,285.68, 14,189.64 and 6,037.08

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Solution

The fourth proportional to 10,285.68, 14,189.64 and 6,037.08 is: 8,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.68 : 14,189.64 = 6,037.08 : x
  2. Step 2: Convert to fraction form
    10,285.68/14,189.64 = 6,037.08/x
  3. Step 3: Cross multiply
    10,285.68x = 14,189.64 × 6,037.08
  4. Step 4: Simplify right side
    10,285.68x = 85,663,991.85
  5. Step 5: Solve for x
    x = 85,663,991.85/10,285.68
  6. Step 6: Final answer
    x = 8,328.47

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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.