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Finding the Fourth Proportional to 7,662.64, 11,471.28 and 4,731.52

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Solution

The fourth proportional to 7,662.64, 11,471.28 and 4,731.52 is: 7,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.64 : 11,471.28 = 4,731.52 : x
  2. Step 2: Convert to fraction form
    7,662.64/11,471.28 = 4,731.52/x
  3. Step 3: Cross multiply
    7,662.64x = 11,471.28 × 4,731.52
  4. Step 4: Simplify right side
    7,662.64x = 54,276,590.75
  5. Step 5: Solve for x
    x = 54,276,590.75/7,662.64
  6. Step 6: Final answer
    x = 7,083.28

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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.