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Finding the Fourth Proportional to 10,552.34, 14,561.78 and 6,076.26

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Solution

The fourth proportional to 10,552.34, 14,561.78 and 6,076.26 is: 8,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.34 : 14,561.78 = 6,076.26 : x
  2. Step 2: Convert to fraction form
    10,552.34/14,561.78 = 6,076.26/x
  3. Step 3: Cross multiply
    10,552.34x = 14,561.78 × 6,076.26
  4. Step 4: Simplify right side
    10,552.34x = 88,481,161.34
  5. Step 5: Solve for x
    x = 88,481,161.34/10,552.34
  6. Step 6: Final answer
    x = 8,384.98

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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.