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Finding the Fourth Proportional to 7,089.80, 9,767.52 and 5,096.88

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Solution

The fourth proportional to 7,089.80, 9,767.52 and 5,096.88 is: 7,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.80 : 9,767.52 = 5,096.88 : x
  2. Step 2: Convert to fraction form
    7,089.80/9,767.52 = 5,096.88/x
  3. Step 3: Cross multiply
    7,089.80x = 9,767.52 × 5,096.88
  4. Step 4: Simplify right side
    7,089.80x = 49,783,877.34
  5. Step 5: Solve for x
    x = 49,783,877.34/7,089.80
  6. Step 6: Final answer
    x = 7,021.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.