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Finding the Fourth Proportional to 10,509.35, 14,505.78 and 6,033.50

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Solution

The fourth proportional to 10,509.35, 14,505.78 and 6,033.50 is: 8,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.35 : 14,505.78 = 6,033.50 : x
  2. Step 2: Convert to fraction form
    10,509.35/14,505.78 = 6,033.50/x
  3. Step 3: Cross multiply
    10,509.35x = 14,505.78 × 6,033.50
  4. Step 4: Simplify right side
    10,509.35x = 87,520,623.63
  5. Step 5: Solve for x
    x = 87,520,623.63/10,509.35
  6. Step 6: Final answer
    x = 8,327.88

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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.