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Finding the Fourth Proportional to 10,508.49, 14,497.11 and 6,918.81

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Solution

The fourth proportional to 10,508.49, 14,497.11 and 6,918.81 is: 9,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.49 : 14,497.11 = 6,918.81 : x
  2. Step 2: Convert to fraction form
    10,508.49/14,497.11 = 6,918.81/x
  3. Step 3: Cross multiply
    10,508.49x = 14,497.11 × 6,918.81
  4. Step 4: Simplify right side
    10,508.49x = 100,302,749.64
  5. Step 5: Solve for x
    x = 100,302,749.64/10,508.49
  6. Step 6: Final answer
    x = 9,544.93

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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.