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Finding the Fourth Proportional to 11,776.80, 16,248.68 and 7,300.74

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Solution

The fourth proportional to 11,776.80, 16,248.68 and 7,300.74 is: 10,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.80 : 16,248.68 = 7,300.74 : x
  2. Step 2: Convert to fraction form
    11,776.80/16,248.68 = 7,300.74/x
  3. Step 3: Cross multiply
    11,776.80x = 16,248.68 × 7,300.74
  4. Step 4: Simplify right side
    11,776.80x = 118,627,388.02
  5. Step 5: Solve for x
    x = 118,627,388.02/11,776.80
  6. Step 6: Final answer
    x = 10,072.97

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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.