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Finding the Fourth Proportional to 10,515.60, 15,796.31 and 6,357.57

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Solution

The fourth proportional to 10,515.60, 15,796.31 and 6,357.57 is: 9,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.60 : 15,796.31 = 6,357.57 : x
  2. Step 2: Convert to fraction form
    10,515.60/15,796.31 = 6,357.57/x
  3. Step 3: Cross multiply
    10,515.60x = 15,796.31 × 6,357.57
  4. Step 4: Simplify right side
    10,515.60x = 100,426,146.57
  5. Step 5: Solve for x
    x = 100,426,146.57/10,515.60
  6. Step 6: Final answer
    x = 9,550.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.