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Finding the Fourth Proportional to 8,003.12, 11,042.84 and 4,646.32

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Solution

The fourth proportional to 8,003.12, 11,042.84 and 4,646.32 is: 6,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.12 : 11,042.84 = 4,646.32 : x
  2. Step 2: Convert to fraction form
    8,003.12/11,042.84 = 4,646.32/x
  3. Step 3: Cross multiply
    8,003.12x = 11,042.84 × 4,646.32
  4. Step 4: Simplify right side
    8,003.12x = 51,308,568.35
  5. Step 5: Solve for x
    x = 51,308,568.35/8,003.12
  6. Step 6: Final answer
    x = 6,411.07

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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.