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Finding the Fourth Proportional to 7,677.62, 10,596.85 and 5,437.14

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Solution

The fourth proportional to 7,677.62, 10,596.85 and 5,437.14 is: 7,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.62 : 10,596.85 = 5,437.14 : x
  2. Step 2: Convert to fraction form
    7,677.62/10,596.85 = 5,437.14/x
  3. Step 3: Cross multiply
    7,677.62x = 10,596.85 × 5,437.14
  4. Step 4: Simplify right side
    7,677.62x = 57,616,557.01
  5. Step 5: Solve for x
    x = 57,616,557.01/7,677.62
  6. Step 6: Final answer
    x = 7,504.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.