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Finding the Fourth Proportional to 10,281.93, 14,189.00 and 5,805.65

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Solution

The fourth proportional to 10,281.93, 14,189.00 and 5,805.65 is: 8,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.93 : 14,189.00 = 5,805.65 : x
  2. Step 2: Convert to fraction form
    10,281.93/14,189.00 = 5,805.65/x
  3. Step 3: Cross multiply
    10,281.93x = 14,189.00 × 5,805.65
  4. Step 4: Simplify right side
    10,281.93x = 82,376,267.88
  5. Step 5: Solve for x
    x = 82,376,267.88/10,281.93
  6. Step 6: Final answer
    x = 8,011.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.