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Finding the Fourth Proportional to 10,580.94, 14,620.73 and 7,591.53

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Solution

The fourth proportional to 10,580.94, 14,620.73 and 7,591.53 is: 10,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.94 : 14,620.73 = 7,591.53 : x
  2. Step 2: Convert to fraction form
    10,580.94/14,620.73 = 7,591.53/x
  3. Step 3: Cross multiply
    10,580.94x = 14,620.73 × 7,591.53
  4. Step 4: Simplify right side
    10,580.94x = 110,993,672.46
  5. Step 5: Solve for x
    x = 110,993,672.46/10,580.94
  6. Step 6: Final answer
    x = 10,489.97

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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.