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Finding the Fourth Proportional to 11,507.41, 15,880.80 and 6,473.22

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Solution

The fourth proportional to 11,507.41, 15,880.80 and 6,473.22 is: 8,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.41 : 15,880.80 = 6,473.22 : x
  2. Step 2: Convert to fraction form
    11,507.41/15,880.80 = 6,473.22/x
  3. Step 3: Cross multiply
    11,507.41x = 15,880.80 × 6,473.22
  4. Step 4: Simplify right side
    11,507.41x = 102,799,832.77
  5. Step 5: Solve for x
    x = 102,799,832.77/11,507.41
  6. Step 6: Final answer
    x = 8,933.36

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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.