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Finding the Fourth Proportional to 7,715.80, 11,573.70 and 5,091.40

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Solution

The fourth proportional to 7,715.80, 11,573.70 and 5,091.40 is: 7,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.80 : 11,573.70 = 5,091.40 : x
  2. Step 2: Convert to fraction form
    7,715.80/11,573.70 = 5,091.40/x
  3. Step 3: Cross multiply
    7,715.80x = 11,573.70 × 5,091.40
  4. Step 4: Simplify right side
    7,715.80x = 58,926,336.18
  5. Step 5: Solve for x
    x = 58,926,336.18/7,715.80
  6. Step 6: Final answer
    x = 7,637.10

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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.