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Finding the Fourth Proportional to 11,937.76, 16,477.12 and 7,225.28

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Solution

The fourth proportional to 11,937.76, 16,477.12 and 7,225.28 is: 9,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.76 : 16,477.12 = 7,225.28 : x
  2. Step 2: Convert to fraction form
    11,937.76/16,477.12 = 7,225.28/x
  3. Step 3: Cross multiply
    11,937.76x = 16,477.12 × 7,225.28
  4. Step 4: Simplify right side
    11,937.76x = 119,051,805.59
  5. Step 5: Solve for x
    x = 119,051,805.59/11,937.76
  6. Step 6: Final answer
    x = 9,972.71

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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.