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Finding the Fourth Proportional to 10,483.65, 14,467.01 and 6,701.49

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Solution

The fourth proportional to 10,483.65, 14,467.01 and 6,701.49 is: 9,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.65 : 14,467.01 = 6,701.49 : x
  2. Step 2: Convert to fraction form
    10,483.65/14,467.01 = 6,701.49/x
  3. Step 3: Cross multiply
    10,483.65x = 14,467.01 × 6,701.49
  4. Step 4: Simplify right side
    10,483.65x = 96,950,489.34
  5. Step 5: Solve for x
    x = 96,950,489.34/10,483.65
  6. Step 6: Final answer
    x = 9,247.78

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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.