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Finding the Fourth Proportional to 7,232.64, 9,978.36 and 4,086.48

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Solution

The fourth proportional to 7,232.64, 9,978.36 and 4,086.48 is: 5,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.64 : 9,978.36 = 4,086.48 : x
  2. Step 2: Convert to fraction form
    7,232.64/9,978.36 = 4,086.48/x
  3. Step 3: Cross multiply
    7,232.64x = 9,978.36 × 4,086.48
  4. Step 4: Simplify right side
    7,232.64x = 40,776,368.57
  5. Step 5: Solve for x
    x = 40,776,368.57/7,232.64
  6. Step 6: Final answer
    x = 5,637.83

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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.