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Finding the Fourth Proportional to 7,170.68, 9,890.07 and 5,187.80

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Solution

The fourth proportional to 7,170.68, 9,890.07 and 5,187.80 is: 7,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.68 : 9,890.07 = 5,187.80 : x
  2. Step 2: Convert to fraction form
    7,170.68/9,890.07 = 5,187.80/x
  3. Step 3: Cross multiply
    7,170.68x = 9,890.07 × 5,187.80
  4. Step 4: Simplify right side
    7,170.68x = 51,307,710.42
  5. Step 5: Solve for x
    x = 51,307,710.42/7,170.68
  6. Step 6: Final answer
    x = 7,155.21

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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.