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Finding the Fourth Proportional to 9,711.90, 14,555.70 and 7,111.80

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Solution

The fourth proportional to 9,711.90, 14,555.70 and 7,111.80 is: 10,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.90 : 14,555.70 = 7,111.80 : x
  2. Step 2: Convert to fraction form
    9,711.90/14,555.70 = 7,111.80/x
  3. Step 3: Cross multiply
    9,711.90x = 14,555.70 × 7,111.80
  4. Step 4: Simplify right side
    9,711.90x = 103,517,227.26
  5. Step 5: Solve for x
    x = 103,517,227.26/9,711.90
  6. Step 6: Final answer
    x = 10,658.80

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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.