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Finding the Fourth Proportional to 11,451.42, 15,802.76 and 6,415.62

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Solution

The fourth proportional to 11,451.42, 15,802.76 and 6,415.62 is: 8,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.42 : 15,802.76 = 6,415.62 : x
  2. Step 2: Convert to fraction form
    11,451.42/15,802.76 = 6,415.62/x
  3. Step 3: Cross multiply
    11,451.42x = 15,802.76 × 6,415.62
  4. Step 4: Simplify right side
    11,451.42x = 101,384,519.15
  5. Step 5: Solve for x
    x = 101,384,519.15/11,451.42
  6. Step 6: Final answer
    x = 8,853.45

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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.