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Finding the Fourth Proportional to 10,553.76, 14,570.82 and 6,778.62

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Solution

The fourth proportional to 10,553.76, 14,570.82 and 6,778.62 is: 9,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.76 : 14,570.82 = 6,778.62 : x
  2. Step 2: Convert to fraction form
    10,553.76/14,570.82 = 6,778.62/x
  3. Step 3: Cross multiply
    10,553.76x = 14,570.82 × 6,778.62
  4. Step 4: Simplify right side
    10,553.76x = 98,770,051.87
  5. Step 5: Solve for x
    x = 98,770,051.87/10,553.76
  6. Step 6: Final answer
    x = 9,358.75

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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.