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Finding the Fourth Proportional to 11,145.76, 15,380.68 and 6,666.86

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Solution

The fourth proportional to 11,145.76, 15,380.68 and 6,666.86 is: 9,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.76 : 15,380.68 = 6,666.86 : x
  2. Step 2: Convert to fraction form
    11,145.76/15,380.68 = 6,666.86/x
  3. Step 3: Cross multiply
    11,145.76x = 15,380.68 × 6,666.86
  4. Step 4: Simplify right side
    11,145.76x = 102,540,840.26
  5. Step 5: Solve for x
    x = 102,540,840.26/11,145.76
  6. Step 6: Final answer
    x = 9,199.99

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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.