Home / 10,023.81-15,035.64-7,834.38

Finding the Fourth Proportional to 10,023.81, 15,035.64 and 7,834.38

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Solution

The fourth proportional to 10,023.81, 15,035.64 and 7,834.38 is: 11,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.81 : 15,035.64 = 7,834.38 : x
  2. Step 2: Convert to fraction form
    10,023.81/15,035.64 = 7,834.38/x
  3. Step 3: Cross multiply
    10,023.81x = 15,035.64 × 7,834.38
  4. Step 4: Simplify right side
    10,023.81x = 117,794,842.13
  5. Step 5: Solve for x
    x = 117,794,842.13/10,023.81
  6. Step 6: Final answer
    x = 11,751.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.