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Finding the Fourth Proportional to 7,706.34, 11,559.51 and 5,953.89

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Solution

The fourth proportional to 7,706.34, 11,559.51 and 5,953.89 is: 8,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.34 : 11,559.51 = 5,953.89 : x
  2. Step 2: Convert to fraction form
    7,706.34/11,559.51 = 5,953.89/x
  3. Step 3: Cross multiply
    7,706.34x = 11,559.51 × 5,953.89
  4. Step 4: Simplify right side
    7,706.34x = 68,824,050.99
  5. Step 5: Solve for x
    x = 68,824,050.99/7,706.34
  6. Step 6: Final answer
    x = 8,930.84

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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.