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Finding the Fourth Proportional to 10,470.72, 15,704.64 and 3,544.32

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Solution

The fourth proportional to 10,470.72, 15,704.64 and 3,544.32 is: 5,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.72 : 15,704.64 = 3,544.32 : x
  2. Step 2: Convert to fraction form
    10,470.72/15,704.64 = 3,544.32/x
  3. Step 3: Cross multiply
    10,470.72x = 15,704.64 × 3,544.32
  4. Step 4: Simplify right side
    10,470.72x = 55,662,269.64
  5. Step 5: Solve for x
    x = 55,662,269.64/10,470.72
  6. Step 6: Final answer
    x = 5,315.99

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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.