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Finding the Fourth Proportional to 10,653.82, 14,699.10 and 6,177.34

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Solution

The fourth proportional to 10,653.82, 14,699.10 and 6,177.34 is: 8,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.82 : 14,699.10 = 6,177.34 : x
  2. Step 2: Convert to fraction form
    10,653.82/14,699.10 = 6,177.34/x
  3. Step 3: Cross multiply
    10,653.82x = 14,699.10 × 6,177.34
  4. Step 4: Simplify right side
    10,653.82x = 90,801,338.39
  5. Step 5: Solve for x
    x = 90,801,338.39/10,653.82
  6. Step 6: Final answer
    x = 8,522.89

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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.