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Finding the Fourth Proportional to 11,762.80, 16,232.32 and 6,457.60

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Solution

The fourth proportional to 11,762.80, 16,232.32 and 6,457.60 is: 8,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.80 : 16,232.32 = 6,457.60 : x
  2. Step 2: Convert to fraction form
    11,762.80/16,232.32 = 6,457.60/x
  3. Step 3: Cross multiply
    11,762.80x = 16,232.32 × 6,457.60
  4. Step 4: Simplify right side
    11,762.80x = 104,821,829.63
  5. Step 5: Solve for x
    x = 104,821,829.63/11,762.80
  6. Step 6: Final answer
    x = 8,911.30

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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.