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Finding the Fourth Proportional to 10,415.15, 14,367.54 and 7,056.82

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Solution

The fourth proportional to 10,415.15, 14,367.54 and 7,056.82 is: 9,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.15 : 14,367.54 = 7,056.82 : x
  2. Step 2: Convert to fraction form
    10,415.15/14,367.54 = 7,056.82/x
  3. Step 3: Cross multiply
    10,415.15x = 14,367.54 × 7,056.82
  4. Step 4: Simplify right side
    10,415.15x = 101,389,143.62
  5. Step 5: Solve for x
    x = 101,389,143.62/10,415.15
  6. Step 6: Final answer
    x = 9,734.78

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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.