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Finding the Fourth Proportional to 10,556.97, 14,568.40 and 5,776.90

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Solution

The fourth proportional to 10,556.97, 14,568.40 and 5,776.90 is: 7,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.97 : 14,568.40 = 5,776.90 : x
  2. Step 2: Convert to fraction form
    10,556.97/14,568.40 = 5,776.90/x
  3. Step 3: Cross multiply
    10,556.97x = 14,568.40 × 5,776.90
  4. Step 4: Simplify right side
    10,556.97x = 84,160,128.18
  5. Step 5: Solve for x
    x = 84,160,128.18/10,556.97
  6. Step 6: Final answer
    x = 7,971.99

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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.