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Finding the Fourth Proportional to 7,113.46, 10,672.47 and 3,415.95

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Solution

The fourth proportional to 7,113.46, 10,672.47 and 3,415.95 is: 5,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.46 : 10,672.47 = 3,415.95 : x
  2. Step 2: Convert to fraction form
    7,113.46/10,672.47 = 3,415.95/x
  3. Step 3: Cross multiply
    7,113.46x = 10,672.47 × 3,415.95
  4. Step 4: Simplify right side
    7,113.46x = 36,456,623.90
  5. Step 5: Solve for x
    x = 36,456,623.90/7,113.46
  6. Step 6: Final answer
    x = 5,125.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.