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Finding the Fourth Proportional to 7,834.49, 11,738.03 and 6,526.63

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Solution

The fourth proportional to 7,834.49, 11,738.03 and 6,526.63 is: 9,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.49 : 11,738.03 = 6,526.63 : x
  2. Step 2: Convert to fraction form
    7,834.49/11,738.03 = 6,526.63/x
  3. Step 3: Cross multiply
    7,834.49x = 11,738.03 × 6,526.63
  4. Step 4: Simplify right side
    7,834.49x = 76,609,731.46
  5. Step 5: Solve for x
    x = 76,609,731.46/7,834.49
  6. Step 6: Final answer
    x = 9,778.52

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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.