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Finding the Fourth Proportional to 8,711.40, 13,070.88 and 3,782.28

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Solution

The fourth proportional to 8,711.40, 13,070.88 and 3,782.28 is: 5,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.40 : 13,070.88 = 3,782.28 : x
  2. Step 2: Convert to fraction form
    8,711.40/13,070.88 = 3,782.28/x
  3. Step 3: Cross multiply
    8,711.40x = 13,070.88 × 3,782.28
  4. Step 4: Simplify right side
    8,711.40x = 49,437,728.01
  5. Step 5: Solve for x
    x = 49,437,728.01/8,711.40
  6. Step 6: Final answer
    x = 5,675.06

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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.