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Finding the Fourth Proportional to 7,295.64, 10,943.01 and 2,101.56

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Solution

The fourth proportional to 7,295.64, 10,943.01 and 2,101.56 is: 3,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.64 : 10,943.01 = 2,101.56 : x
  2. Step 2: Convert to fraction form
    7,295.64/10,943.01 = 2,101.56/x
  3. Step 3: Cross multiply
    7,295.64x = 10,943.01 × 2,101.56
  4. Step 4: Simplify right side
    7,295.64x = 22,997,392.10
  5. Step 5: Solve for x
    x = 22,997,392.10/7,295.64
  6. Step 6: Final answer
    x = 3,152.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.