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Finding the Fourth Proportional to 8,490.24, 12,735.36 and 3,870.72

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Solution

The fourth proportional to 8,490.24, 12,735.36 and 3,870.72 is: 5,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.24 : 12,735.36 = 3,870.72 : x
  2. Step 2: Convert to fraction form
    8,490.24/12,735.36 = 3,870.72/x
  3. Step 3: Cross multiply
    8,490.24x = 12,735.36 × 3,870.72
  4. Step 4: Simplify right side
    8,490.24x = 49,295,012.66
  5. Step 5: Solve for x
    x = 49,295,012.66/8,490.24
  6. Step 6: Final answer
    x = 5,806.08

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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.