Home / 10,824.48-14,930.64-7,092

Finding the Fourth Proportional to 10,824.48, 14,930.64 and 7,092

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Solution

The fourth proportional to 10,824.48, 14,930.64 and 7,092 is: 9,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.48 : 14,930.64 = 7,092 : x
  2. Step 2: Convert to fraction form
    10,824.48/14,930.64 = 7,092/x
  3. Step 3: Cross multiply
    10,824.48x = 14,930.64 × 7,092
  4. Step 4: Simplify right side
    10,824.48x = 105,888,098.88
  5. Step 5: Solve for x
    x = 105,888,098.88/10,824.48
  6. Step 6: Final answer
    x = 9,782.28

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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.