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Finding the Fourth Proportional to 10,830, 14,945.44 and 5,862

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Solution

The fourth proportional to 10,830, 14,945.44 and 5,862 is: 8,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830 : 14,945.44 = 5,862 : x
  2. Step 2: Convert to fraction form
    10,830/14,945.44 = 5,862/x
  3. Step 3: Cross multiply
    10,830x = 14,945.44 × 5,862
  4. Step 4: Simplify right side
    10,830x = 87,610,169.28
  5. Step 5: Solve for x
    x = 87,610,169.28/10,830
  6. Step 6: Final answer
    x = 8,089.58

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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.