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Finding the Fourth Proportional to 7,675.23, 10,592 and 4,272.28

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Solution

The fourth proportional to 7,675.23, 10,592 and 4,272.28 is: 5,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.23 : 10,592 = 4,272.28 : x
  2. Step 2: Convert to fraction form
    7,675.23/10,592 = 4,272.28/x
  3. Step 3: Cross multiply
    7,675.23x = 10,592 × 4,272.28
  4. Step 4: Simplify right side
    7,675.23x = 45,251,989.76
  5. Step 5: Solve for x
    x = 45,251,989.76/7,675.23
  6. Step 6: Final answer
    x = 5,895.85

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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.