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Finding the Fourth Proportional to 10,583.81, 14,605.88 and 5,803.86

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Solution

The fourth proportional to 10,583.81, 14,605.88 and 5,803.86 is: 8,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.81 : 14,605.88 = 5,803.86 : x
  2. Step 2: Convert to fraction form
    10,583.81/14,605.88 = 5,803.86/x
  3. Step 3: Cross multiply
    10,583.81x = 14,605.88 × 5,803.86
  4. Step 4: Simplify right side
    10,583.81x = 84,770,453.68
  5. Step 5: Solve for x
    x = 84,770,453.68/10,583.81
  6. Step 6: Final answer
    x = 8,009.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.