Home / 10,242.60-14,135.07-5,766

Finding the Fourth Proportional to 10,242.60, 14,135.07 and 5,766

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Solution

The fourth proportional to 10,242.60, 14,135.07 and 5,766 is: 7,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.60 : 14,135.07 = 5,766 : x
  2. Step 2: Convert to fraction form
    10,242.60/14,135.07 = 5,766/x
  3. Step 3: Cross multiply
    10,242.60x = 14,135.07 × 5,766
  4. Step 4: Simplify right side
    10,242.60x = 81,502,813.62
  5. Step 5: Solve for x
    x = 81,502,813.62/10,242.60
  6. Step 6: Final answer
    x = 7,957.24

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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.