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Finding the Fourth Proportional to 11,711.40, 17,567.12 and 4,785.90

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Solution

The fourth proportional to 11,711.40, 17,567.12 and 4,785.90 is: 7,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.40 : 17,567.12 = 4,785.90 : x
  2. Step 2: Convert to fraction form
    11,711.40/17,567.12 = 4,785.90/x
  3. Step 3: Cross multiply
    11,711.40x = 17,567.12 × 4,785.90
  4. Step 4: Simplify right side
    11,711.40x = 84,074,479.61
  5. Step 5: Solve for x
    x = 84,074,479.61/11,711.40
  6. Step 6: Final answer
    x = 7,178.86

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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.