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Finding the Fourth Proportional to 10,023.58, 13,834.00 and 5,773.81

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Solution

The fourth proportional to 10,023.58, 13,834.00 and 5,773.81 is: 7,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.58 : 13,834.00 = 5,773.81 : x
  2. Step 2: Convert to fraction form
    10,023.58/13,834.00 = 5,773.81/x
  3. Step 3: Cross multiply
    10,023.58x = 13,834.00 × 5,773.81
  4. Step 4: Simplify right side
    10,023.58x = 79,874,873.11
  5. Step 5: Solve for x
    x = 79,874,873.11/10,023.58
  6. Step 6: Final answer
    x = 7,968.70

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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.