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Finding the Fourth Proportional to 10,821, 14,932.98 and 5,853

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Solution

The fourth proportional to 10,821, 14,932.98 and 5,853 is: 8,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821 : 14,932.98 = 5,853 : x
  2. Step 2: Convert to fraction form
    10,821/14,932.98 = 5,853/x
  3. Step 3: Cross multiply
    10,821x = 14,932.98 × 5,853
  4. Step 4: Simplify right side
    10,821x = 87,402,731.94
  5. Step 5: Solve for x
    x = 87,402,731.94/10,821
  6. Step 6: Final answer
    x = 8,077.14

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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.