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Finding the Fourth Proportional to 6,860.16, 9,484.56 and 5,190.30

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Solution

The fourth proportional to 6,860.16, 9,484.56 and 5,190.30 is: 7,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.16 : 9,484.56 = 5,190.30 : x
  2. Step 2: Convert to fraction form
    6,860.16/9,484.56 = 5,190.30/x
  3. Step 3: Cross multiply
    6,860.16x = 9,484.56 × 5,190.30
  4. Step 4: Simplify right side
    6,860.16x = 49,227,711.77
  5. Step 5: Solve for x
    x = 49,227,711.77/6,860.16
  6. Step 6: Final answer
    x = 7,175.88

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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.