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Finding the Fourth Proportional to 7,564.58, 10,433.94 and 4,575.26

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Solution

The fourth proportional to 7,564.58, 10,433.94 and 4,575.26 is: 6,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.58 : 10,433.94 = 4,575.26 : x
  2. Step 2: Convert to fraction form
    7,564.58/10,433.94 = 4,575.26/x
  3. Step 3: Cross multiply
    7,564.58x = 10,433.94 × 4,575.26
  4. Step 4: Simplify right side
    7,564.58x = 47,737,988.32
  5. Step 5: Solve for x
    x = 47,737,988.32/7,564.58
  6. Step 6: Final answer
    x = 6,310.73

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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.