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Finding the Fourth Proportional to 10,440.63, 15,659.43 and 3,043.10

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Solution

The fourth proportional to 10,440.63, 15,659.43 and 3,043.10 is: 4,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.63 : 15,659.43 = 3,043.10 : x
  2. Step 2: Convert to fraction form
    10,440.63/15,659.43 = 3,043.10/x
  3. Step 3: Cross multiply
    10,440.63x = 15,659.43 × 3,043.10
  4. Step 4: Simplify right side
    10,440.63x = 47,653,235.37
  5. Step 5: Solve for x
    x = 47,653,235.37/10,440.63
  6. Step 6: Final answer
    x = 4,564.21

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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.