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Finding the Fourth Proportional to 10,589.70, 14,632.83 and 7,600.35

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Solution

The fourth proportional to 10,589.70, 14,632.83 and 7,600.35 is: 10,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.70 : 14,632.83 = 7,600.35 : x
  2. Step 2: Convert to fraction form
    10,589.70/14,632.83 = 7,600.35/x
  3. Step 3: Cross multiply
    10,589.70x = 14,632.83 × 7,600.35
  4. Step 4: Simplify right side
    10,589.70x = 111,214,629.49
  5. Step 5: Solve for x
    x = 111,214,629.49/10,589.70
  6. Step 6: Final answer
    x = 10,502.15

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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.