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Finding the Fourth Proportional to 11,384.84, 15,710.00 and 6,668.21

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Solution

The fourth proportional to 11,384.84, 15,710.00 and 6,668.21 is: 9,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.84 : 15,710.00 = 6,668.21 : x
  2. Step 2: Convert to fraction form
    11,384.84/15,710.00 = 6,668.21/x
  3. Step 3: Cross multiply
    11,384.84x = 15,710.00 × 6,668.21
  4. Step 4: Simplify right side
    11,384.84x = 104,757,467.21
  5. Step 5: Solve for x
    x = 104,757,467.21/11,384.84
  6. Step 6: Final answer
    x = 9,201.49

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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.