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Finding the Fourth Proportional to 10,583.76, 14,605.68 and 5,868

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Solution

The fourth proportional to 10,583.76, 14,605.68 and 5,868 is: 8,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.76 : 14,605.68 = 5,868 : x
  2. Step 2: Convert to fraction form
    10,583.76/14,605.68 = 5,868/x
  3. Step 3: Cross multiply
    10,583.76x = 14,605.68 × 5,868
  4. Step 4: Simplify right side
    10,583.76x = 85,706,130.24
  5. Step 5: Solve for x
    x = 85,706,130.24/10,583.76
  6. Step 6: Final answer
    x = 8,097.89

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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.