Home / 10,458.09-14,432.40-5,742.38

Finding the Fourth Proportional to 10,458.09, 14,432.40 and 5,742.38

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Solution

The fourth proportional to 10,458.09, 14,432.40 and 5,742.38 is: 7,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.09 : 14,432.40 = 5,742.38 : x
  2. Step 2: Convert to fraction form
    10,458.09/14,432.40 = 5,742.38/x
  3. Step 3: Cross multiply
    10,458.09x = 14,432.40 × 5,742.38
  4. Step 4: Simplify right side
    10,458.09x = 82,876,252.95
  5. Step 5: Solve for x
    x = 82,876,252.95/10,458.09
  6. Step 6: Final answer
    x = 7,924.61

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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.