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Finding the Fourth Proportional to 11,700.76, 16,145.16 and 6,665.08

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Solution

The fourth proportional to 11,700.76, 16,145.16 and 6,665.08 is: 9,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.76 : 16,145.16 = 6,665.08 : x
  2. Step 2: Convert to fraction form
    11,700.76/16,145.16 = 6,665.08/x
  3. Step 3: Cross multiply
    11,700.76x = 16,145.16 × 6,665.08
  4. Step 4: Simplify right side
    11,700.76x = 107,608,730.64
  5. Step 5: Solve for x
    x = 107,608,730.64/11,700.76
  6. Step 6: Final answer
    x = 9,196.73

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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.