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Finding the Fourth Proportional to 10,564.96, 14,581.92 and 6,373.12

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Solution

The fourth proportional to 10,564.96, 14,581.92 and 6,373.12 is: 8,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.96 : 14,581.92 = 6,373.12 : x
  2. Step 2: Convert to fraction form
    10,564.96/14,581.92 = 6,373.12/x
  3. Step 3: Cross multiply
    10,564.96x = 14,581.92 × 6,373.12
  4. Step 4: Simplify right side
    10,564.96x = 92,932,325.99
  5. Step 5: Solve for x
    x = 92,932,325.99/10,564.96
  6. Step 6: Final answer
    x = 8,796.28

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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.