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Finding the Fourth Proportional to 8,444.64, 11,637.36 and 5,956.32

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Solution

The fourth proportional to 8,444.64, 11,637.36 and 5,956.32 is: 8,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.64 : 11,637.36 = 5,956.32 : x
  2. Step 2: Convert to fraction form
    8,444.64/11,637.36 = 5,956.32/x
  3. Step 3: Cross multiply
    8,444.64x = 11,637.36 × 5,956.32
  4. Step 4: Simplify right side
    8,444.64x = 69,315,840.12
  5. Step 5: Solve for x
    x = 69,315,840.12/8,444.64
  6. Step 6: Final answer
    x = 8,208.26

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