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Finding the Fourth Proportional to 10,287.01, 14,195.94 and 5,810.68

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Solution

The fourth proportional to 10,287.01, 14,195.94 and 5,810.68 is: 8,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.01 : 14,195.94 = 5,810.68 : x
  2. Step 2: Convert to fraction form
    10,287.01/14,195.94 = 5,810.68/x
  3. Step 3: Cross multiply
    10,287.01x = 14,195.94 × 5,810.68
  4. Step 4: Simplify right side
    10,287.01x = 82,488,064.64
  5. Step 5: Solve for x
    x = 82,488,064.64/10,287.01
  6. Step 6: Final answer
    x = 8,018.66

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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.