Home / 10,538.26-14,543.62-5,823.38

Finding the Fourth Proportional to 10,538.26, 14,543.62 and 5,823.38

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Solution

The fourth proportional to 10,538.26, 14,543.62 and 5,823.38 is: 8,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.26 : 14,543.62 = 5,823.38 : x
  2. Step 2: Convert to fraction form
    10,538.26/14,543.62 = 5,823.38/x
  3. Step 3: Cross multiply
    10,538.26x = 14,543.62 × 5,823.38
  4. Step 4: Simplify right side
    10,538.26x = 84,693,025.84
  5. Step 5: Solve for x
    x = 84,693,025.84/10,538.26
  6. Step 6: Final answer
    x = 8,036.72

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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.