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Finding the Fourth Proportional to 11,774.93, 16,242.65 and 7,351.25

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Solution

The fourth proportional to 11,774.93, 16,242.65 and 7,351.25 is: 10,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.93 : 16,242.65 = 7,351.25 : x
  2. Step 2: Convert to fraction form
    11,774.93/16,242.65 = 7,351.25/x
  3. Step 3: Cross multiply
    11,774.93x = 16,242.65 × 7,351.25
  4. Step 4: Simplify right side
    11,774.93x = 119,403,744.06
  5. Step 5: Solve for x
    x = 119,403,744.06/11,774.93
  6. Step 6: Final answer
    x = 10,140.51

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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.