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Finding the Fourth Proportional to 11,710.62, 17,565.90 and 4,785.12

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Solution

The fourth proportional to 11,710.62, 17,565.90 and 4,785.12 is: 7,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.62 : 17,565.90 = 4,785.12 : x
  2. Step 2: Convert to fraction form
    11,710.62/17,565.90 = 4,785.12/x
  3. Step 3: Cross multiply
    11,710.62x = 17,565.90 × 4,785.12
  4. Step 4: Simplify right side
    11,710.62x = 84,054,939.41
  5. Step 5: Solve for x
    x = 84,054,939.41/11,710.62
  6. Step 6: Final answer
    x = 7,177.67

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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.