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Finding the Fourth Proportional to 8,490.16, 12,735.24 and 2,646.80

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Solution

The fourth proportional to 8,490.16, 12,735.24 and 2,646.80 is: 3,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.16 : 12,735.24 = 2,646.80 : x
  2. Step 2: Convert to fraction form
    8,490.16/12,735.24 = 2,646.80/x
  3. Step 3: Cross multiply
    8,490.16x = 12,735.24 × 2,646.80
  4. Step 4: Simplify right side
    8,490.16x = 33,707,633.23
  5. Step 5: Solve for x
    x = 33,707,633.23/8,490.16
  6. Step 6: Final answer
    x = 3,970.20

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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.