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Finding the Fourth Proportional to 10,174.51, 14,048.94 and 6,774.84

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Solution

The fourth proportional to 10,174.51, 14,048.94 and 6,774.84 is: 9,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.51 : 14,048.94 = 6,774.84 : x
  2. Step 2: Convert to fraction form
    10,174.51/14,048.94 = 6,774.84/x
  3. Step 3: Cross multiply
    10,174.51x = 14,048.94 × 6,774.84
  4. Step 4: Simplify right side
    10,174.51x = 95,179,346.08
  5. Step 5: Solve for x
    x = 95,179,346.08/10,174.51
  6. Step 6: Final answer
    x = 9,354.68

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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.