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Finding the Fourth Proportional to 10,583.51, 14,605.11 and 5,867.69

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Solution

The fourth proportional to 10,583.51, 14,605.11 and 5,867.69 is: 8,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.51 : 14,605.11 = 5,867.69 : x
  2. Step 2: Convert to fraction form
    10,583.51/14,605.11 = 5,867.69/x
  3. Step 3: Cross multiply
    10,583.51x = 14,605.11 × 5,867.69
  4. Step 4: Simplify right side
    10,583.51x = 85,698,184.87
  5. Step 5: Solve for x
    x = 85,698,184.87/10,583.51
  6. Step 6: Final answer
    x = 8,097.33

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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.