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Finding the Fourth Proportional to 10,524.74, 14,517.83 and 7,688.64

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Solution

The fourth proportional to 10,524.74, 14,517.83 and 7,688.64 is: 10,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.74 : 14,517.83 = 7,688.64 : x
  2. Step 2: Convert to fraction form
    10,524.74/14,517.83 = 7,688.64/x
  3. Step 3: Cross multiply
    10,524.74x = 14,517.83 × 7,688.64
  4. Step 4: Simplify right side
    10,524.74x = 111,622,442.11
  5. Step 5: Solve for x
    x = 111,622,442.11/10,524.74
  6. Step 6: Final answer
    x = 10,605.72

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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.