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Finding the Fourth Proportional to 10,520.64, 15,782.16 and 2,730.06

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Solution

The fourth proportional to 10,520.64, 15,782.16 and 2,730.06 is: 4,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.64 : 15,782.16 = 2,730.06 : x
  2. Step 2: Convert to fraction form
    10,520.64/15,782.16 = 2,730.06/x
  3. Step 3: Cross multiply
    10,520.64x = 15,782.16 × 2,730.06
  4. Step 4: Simplify right side
    10,520.64x = 43,086,243.73
  5. Step 5: Solve for x
    x = 43,086,243.73/10,520.64
  6. Step 6: Final answer
    x = 4,095.40

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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.