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Finding the Fourth Proportional to 11,451.03, 15,803.54 and 6,415.26

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Solution

The fourth proportional to 11,451.03, 15,803.54 and 6,415.26 is: 8,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.03 : 15,803.54 = 6,415.26 : x
  2. Step 2: Convert to fraction form
    11,451.03/15,803.54 = 6,415.26/x
  3. Step 3: Cross multiply
    11,451.03x = 15,803.54 × 6,415.26
  4. Step 4: Simplify right side
    11,451.03x = 101,383,818.02
  5. Step 5: Solve for x
    x = 101,383,818.02/11,451.03
  6. Step 6: Final answer
    x = 8,853.69

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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.