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Finding the Fourth Proportional to 11,885.14, 17,807.66 and 7,718.91

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Solution

The fourth proportional to 11,885.14, 17,807.66 and 7,718.91 is: 11,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.14 : 17,807.66 = 7,718.91 : x
  2. Step 2: Convert to fraction form
    11,885.14/17,807.66 = 7,718.91/x
  3. Step 3: Cross multiply
    11,885.14x = 17,807.66 × 7,718.91
  4. Step 4: Simplify right side
    11,885.14x = 137,455,724.85
  5. Step 5: Solve for x
    x = 137,455,724.85/11,885.14
  6. Step 6: Final answer
    x = 11,565.34

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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.