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Finding the Fourth Proportional to 7,280.56, 10,046.47 and 4,256.39

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Solution

The fourth proportional to 7,280.56, 10,046.47 and 4,256.39 is: 5,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.56 : 10,046.47 = 4,256.39 : x
  2. Step 2: Convert to fraction form
    7,280.56/10,046.47 = 4,256.39/x
  3. Step 3: Cross multiply
    7,280.56x = 10,046.47 × 4,256.39
  4. Step 4: Simplify right side
    7,280.56x = 42,761,644.21
  5. Step 5: Solve for x
    x = 42,761,644.21/7,280.56
  6. Step 6: Final answer
    x = 5,873.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.