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Finding the Fourth Proportional to 10,415.27, 14,367.71 and 7,056.95

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Solution

The fourth proportional to 10,415.27, 14,367.71 and 7,056.95 is: 9,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.27 : 14,367.71 = 7,056.95 : x
  2. Step 2: Convert to fraction form
    10,415.27/14,367.71 = 7,056.95/x
  3. Step 3: Cross multiply
    10,415.27x = 14,367.71 × 7,056.95
  4. Step 4: Simplify right side
    10,415.27x = 101,392,156.89
  5. Step 5: Solve for x
    x = 101,392,156.89/10,415.27
  6. Step 6: Final answer
    x = 9,734.95

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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.