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Finding the Fourth Proportional to 10,384.34, 14,330.18 and 5,668.65

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Solution

The fourth proportional to 10,384.34, 14,330.18 and 5,668.65 is: 7,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.34 : 14,330.18 = 5,668.65 : x
  2. Step 2: Convert to fraction form
    10,384.34/14,330.18 = 5,668.65/x
  3. Step 3: Cross multiply
    10,384.34x = 14,330.18 × 5,668.65
  4. Step 4: Simplify right side
    10,384.34x = 81,232,789.03
  5. Step 5: Solve for x
    x = 81,232,789.03/10,384.34
  6. Step 6: Final answer
    x = 7,822.63

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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.