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Finding the Fourth Proportional to 10,594.80, 14,618.88 and 7,936.56

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Solution

The fourth proportional to 10,594.80, 14,618.88 and 7,936.56 is: 10,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.80 : 14,618.88 = 7,936.56 : x
  2. Step 2: Convert to fraction form
    10,594.80/14,618.88 = 7,936.56/x
  3. Step 3: Cross multiply
    10,594.80x = 14,618.88 × 7,936.56
  4. Step 4: Simplify right side
    10,594.80x = 116,023,618.25
  5. Step 5: Solve for x
    x = 116,023,618.25/10,594.80
  6. Step 6: Final answer
    x = 10,951.00

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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.