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Finding the Fourth Proportional to 7,756.46, 11,630.27 and 5,294.26

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Solution

The fourth proportional to 7,756.46, 11,630.27 and 5,294.26 is: 7,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.46 : 11,630.27 = 5,294.26 : x
  2. Step 2: Convert to fraction form
    7,756.46/11,630.27 = 5,294.26/x
  3. Step 3: Cross multiply
    7,756.46x = 11,630.27 × 5,294.26
  4. Step 4: Simplify right side
    7,756.46x = 61,573,701.02
  5. Step 5: Solve for x
    x = 61,573,701.02/7,756.46
  6. Step 6: Final answer
    x = 7,938.38

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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.