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Finding the Fourth Proportional to 10,535.11, 15,816.57 and 9,664.76

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Solution

The fourth proportional to 10,535.11, 15,816.57 and 9,664.76 is: 14,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.11 : 15,816.57 = 9,664.76 : x
  2. Step 2: Convert to fraction form
    10,535.11/15,816.57 = 9,664.76/x
  3. Step 3: Cross multiply
    10,535.11x = 15,816.57 × 9,664.76
  4. Step 4: Simplify right side
    10,535.11x = 152,863,245.16
  5. Step 5: Solve for x
    x = 152,863,245.16/10,535.11
  6. Step 6: Final answer
    x = 14,509.88

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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.