Home / 10,543.64-14,549.46-5,828

Finding the Fourth Proportional to 10,543.64, 14,549.46 and 5,828

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Solution

The fourth proportional to 10,543.64, 14,549.46 and 5,828 is: 8,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.64 : 14,549.46 = 5,828 : x
  2. Step 2: Convert to fraction form
    10,543.64/14,549.46 = 5,828/x
  3. Step 3: Cross multiply
    10,543.64x = 14,549.46 × 5,828
  4. Step 4: Simplify right side
    10,543.64x = 84,794,252.88
  5. Step 5: Solve for x
    x = 84,794,252.88/10,543.64
  6. Step 6: Final answer
    x = 8,042.22

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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.