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Finding the Fourth Proportional to 10,583.69, 14,605.38 and 6,107.39

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Solution

The fourth proportional to 10,583.69, 14,605.38 and 6,107.39 is: 8,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.69 : 14,605.38 = 6,107.39 : x
  2. Step 2: Convert to fraction form
    10,583.69/14,605.38 = 6,107.39/x
  3. Step 3: Cross multiply
    10,583.69x = 14,605.38 × 6,107.39
  4. Step 4: Simplify right side
    10,583.69x = 89,200,751.76
  5. Step 5: Solve for x
    x = 89,200,751.76/10,583.69
  6. Step 6: Final answer
    x = 8,428.13

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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.