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Finding the Fourth Proportional to 10,509.70, 14,504.07 and 6,034.90

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Solution

The fourth proportional to 10,509.70, 14,504.07 and 6,034.90 is: 8,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.70 : 14,504.07 = 6,034.90 : x
  2. Step 2: Convert to fraction form
    10,509.70/14,504.07 = 6,034.90/x
  3. Step 3: Cross multiply
    10,509.70x = 14,504.07 × 6,034.90
  4. Step 4: Simplify right side
    10,509.70x = 87,530,612.04
  5. Step 5: Solve for x
    x = 87,530,612.04/10,509.70
  6. Step 6: Final answer
    x = 8,328.55

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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.