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Finding the Fourth Proportional to 7,715.97, 11,548.70 and 4,197.19

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Solution

The fourth proportional to 7,715.97, 11,548.70 and 4,197.19 is: 6,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.97 : 11,548.70 = 4,197.19 : x
  2. Step 2: Convert to fraction form
    7,715.97/11,548.70 = 4,197.19/x
  3. Step 3: Cross multiply
    7,715.97x = 11,548.70 × 4,197.19
  4. Step 4: Simplify right side
    7,715.97x = 48,472,088.15
  5. Step 5: Solve for x
    x = 48,472,088.15/7,715.97
  6. Step 6: Final answer
    x = 6,282.05

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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.