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Finding the Fourth Proportional to 7,681.40, 11,507.33 and 4,711.18

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Solution

The fourth proportional to 7,681.40, 11,507.33 and 4,711.18 is: 7,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.40 : 11,507.33 = 4,711.18 : x
  2. Step 2: Convert to fraction form
    7,681.40/11,507.33 = 4,711.18/x
  3. Step 3: Cross multiply
    7,681.40x = 11,507.33 × 4,711.18
  4. Step 4: Simplify right side
    7,681.40x = 54,213,102.95
  5. Step 5: Solve for x
    x = 54,213,102.95/7,681.40
  6. Step 6: Final answer
    x = 7,057.71

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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.