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Finding the Fourth Proportional to 10,564.78, 14,577.09 and 6,315.21

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Solution

The fourth proportional to 10,564.78, 14,577.09 and 6,315.21 is: 8,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.78 : 14,577.09 = 6,315.21 : x
  2. Step 2: Convert to fraction form
    10,564.78/14,577.09 = 6,315.21/x
  3. Step 3: Cross multiply
    10,564.78x = 14,577.09 × 6,315.21
  4. Step 4: Simplify right side
    10,564.78x = 92,057,384.54
  5. Step 5: Solve for x
    x = 92,057,384.54/10,564.78
  6. Step 6: Final answer
    x = 8,713.61

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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.