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Finding the Fourth Proportional to 10,146.08, 14,001.08 and 5,668.96

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Solution

The fourth proportional to 10,146.08, 14,001.08 and 5,668.96 is: 7,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.08 : 14,001.08 = 5,668.96 : x
  2. Step 2: Convert to fraction form
    10,146.08/14,001.08 = 5,668.96/x
  3. Step 3: Cross multiply
    10,146.08x = 14,001.08 × 5,668.96
  4. Step 4: Simplify right side
    10,146.08x = 79,371,562.48
  5. Step 5: Solve for x
    x = 79,371,562.48/10,146.08
  6. Step 6: Final answer
    x = 7,822.88

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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.