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Finding the Fourth Proportional to 10,340.10, 15,507.82 and 2,944.40

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Solution

The fourth proportional to 10,340.10, 15,507.82 and 2,944.40 is: 4,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.10 : 15,507.82 = 2,944.40 : x
  2. Step 2: Convert to fraction form
    10,340.10/15,507.82 = 2,944.40/x
  3. Step 3: Cross multiply
    10,340.10x = 15,507.82 × 2,944.40
  4. Step 4: Simplify right side
    10,340.10x = 45,661,225.21
  5. Step 5: Solve for x
    x = 45,661,225.21/10,340.10
  6. Step 6: Final answer
    x = 4,415.94

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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.