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Finding the Fourth Proportional to 7,810.56, 11,704.32 and 6,988.80

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Solution

The fourth proportional to 7,810.56, 11,704.32 and 6,988.80 is: 10,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.56 : 11,704.32 = 6,988.80 : x
  2. Step 2: Convert to fraction form
    7,810.56/11,704.32 = 6,988.80/x
  3. Step 3: Cross multiply
    7,810.56x = 11,704.32 × 6,988.80
  4. Step 4: Simplify right side
    7,810.56x = 81,799,151.62
  5. Step 5: Solve for x
    x = 81,799,151.62/7,810.56
  6. Step 6: Final answer
    x = 10,472.89

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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.