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Finding the Fourth Proportional to 8,431.56, 11,636.33 and 6,303.40

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Solution

The fourth proportional to 8,431.56, 11,636.33 and 6,303.40 is: 8,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.56 : 11,636.33 = 6,303.40 : x
  2. Step 2: Convert to fraction form
    8,431.56/11,636.33 = 6,303.40/x
  3. Step 3: Cross multiply
    8,431.56x = 11,636.33 × 6,303.40
  4. Step 4: Simplify right side
    8,431.56x = 73,348,458.28
  5. Step 5: Solve for x
    x = 73,348,458.28/8,431.56
  6. Step 6: Final answer
    x = 8,699.28

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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.