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Finding the Fourth Proportional to 12,145.76, 16,765.34 and 7,111.60

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Solution

The fourth proportional to 12,145.76, 16,765.34 and 7,111.60 is: 9,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.76 : 16,765.34 = 7,111.60 : x
  2. Step 2: Convert to fraction form
    12,145.76/16,765.34 = 7,111.60/x
  3. Step 3: Cross multiply
    12,145.76x = 16,765.34 × 7,111.60
  4. Step 4: Simplify right side
    12,145.76x = 119,228,308.12
  5. Step 5: Solve for x
    x = 119,228,308.12/12,145.76
  6. Step 6: Final answer
    x = 9,816.46

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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.