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Finding the Fourth Proportional to 10,887.84, 15,027.36 and 6,415.44

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Solution

The fourth proportional to 10,887.84, 15,027.36 and 6,415.44 is: 8,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.84 : 15,027.36 = 6,415.44 : x
  2. Step 2: Convert to fraction form
    10,887.84/15,027.36 = 6,415.44/x
  3. Step 3: Cross multiply
    10,887.84x = 15,027.36 × 6,415.44
  4. Step 4: Simplify right side
    10,887.84x = 96,407,126.44
  5. Step 5: Solve for x
    x = 96,407,126.44/10,887.84
  6. Step 6: Final answer
    x = 8,854.57

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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.