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Finding the Fourth Proportional to 7,340.10, 10,256.70 and 7,340.10

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Solution

The fourth proportional to 7,340.10, 10,256.70 and 7,340.10 is: 10,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.10 : 10,256.70 = 7,340.10 : x
  2. Step 2: Convert to fraction form
    7,340.10/10,256.70 = 7,340.10/x
  3. Step 3: Cross multiply
    7,340.10x = 10,256.70 × 7,340.10
  4. Step 4: Simplify right side
    7,340.10x = 75,285,203.67
  5. Step 5: Solve for x
    x = 75,285,203.67/7,340.10
  6. Step 6: Final answer
    x = 10,256.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.