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Finding the Fourth Proportional to 10,577.90, 15,846.32 and 5,645.90

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Solution

The fourth proportional to 10,577.90, 15,846.32 and 5,645.90 is: 8,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.90 : 15,846.32 = 5,645.90 : x
  2. Step 2: Convert to fraction form
    10,577.90/15,846.32 = 5,645.90/x
  3. Step 3: Cross multiply
    10,577.90x = 15,846.32 × 5,645.90
  4. Step 4: Simplify right side
    10,577.90x = 89,466,738.09
  5. Step 5: Solve for x
    x = 89,466,738.09/10,577.90
  6. Step 6: Final answer
    x = 8,457.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.