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Finding the Fourth Proportional to 10,537.00, 14,539.81 and 5,821.00

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Solution

The fourth proportional to 10,537.00, 14,539.81 and 5,821.00 is: 8,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.00 : 14,539.81 = 5,821.00 : x
  2. Step 2: Convert to fraction form
    10,537.00/14,539.81 = 5,821.00/x
  3. Step 3: Cross multiply
    10,537.00x = 14,539.81 × 5,821.00
  4. Step 4: Simplify right side
    10,537.00x = 84,636,161.31
  5. Step 5: Solve for x
    x = 84,636,161.31/10,537.00
  6. Step 6: Final answer
    x = 8,032.29

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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.