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Finding the Fourth Proportional to 7,588, 10,471.44 and 4,276

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Solution

The fourth proportional to 7,588, 10,471.44 and 4,276 is: 5,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588 : 10,471.44 = 4,276 : x
  2. Step 2: Convert to fraction form
    7,588/10,471.44 = 4,276/x
  3. Step 3: Cross multiply
    7,588x = 10,471.44 × 4,276
  4. Step 4: Simplify right side
    7,588x = 44,775,877.44
  5. Step 5: Solve for x
    x = 44,775,877.44/7,588
  6. Step 6: Final answer
    x = 5,900.88

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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.