Home / 10,522.44-14,522-7,865.24

Finding the Fourth Proportional to 10,522.44, 14,522 and 7,865.24

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Solution

The fourth proportional to 10,522.44, 14,522 and 7,865.24 is: 10,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.44 : 14,522 = 7,865.24 : x
  2. Step 2: Convert to fraction form
    10,522.44/14,522 = 7,865.24/x
  3. Step 3: Cross multiply
    10,522.44x = 14,522 × 7,865.24
  4. Step 4: Simplify right side
    10,522.44x = 114,219,015.28
  5. Step 5: Solve for x
    x = 114,219,015.28/10,522.44
  6. Step 6: Final answer
    x = 10,854.80

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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.