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Finding the Fourth Proportional to 7,870.98, 11,810.57 and 3,487.41

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Solution

The fourth proportional to 7,870.98, 11,810.57 and 3,487.41 is: 5,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.98 : 11,810.57 = 3,487.41 : x
  2. Step 2: Convert to fraction form
    7,870.98/11,810.57 = 3,487.41/x
  3. Step 3: Cross multiply
    7,870.98x = 11,810.57 × 3,487.41
  4. Step 4: Simplify right side
    7,870.98x = 41,188,238.20
  5. Step 5: Solve for x
    x = 41,188,238.20/7,870.98
  6. Step 6: Final answer
    x = 5,232.92

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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.